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Finding the Fourth Proportional to 614,523.60, 921,785.40 and 509,547.60

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Solution

The fourth proportional to 614,523.60, 921,785.40 and 509,547.60 is: 764,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,523.60 : 921,785.40 = 509,547.60 : x
  2. Step 2: Convert to fraction form
    614,523.60/921,785.40 = 509,547.60/x
  3. Step 3: Cross multiply
    614,523.60x = 921,785.40 × 509,547.60
  4. Step 4: Simplify right side
    614,523.60x = 469,693,538,285.04
  5. Step 5: Solve for x
    x = 469,693,538,285.04/614,523.60
  6. Step 6: Final answer
    x = 764,321.40

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.