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Finding the Fourth Proportional to 614,441.20, 921,661.80 and 509,378.80

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Solution

The fourth proportional to 614,441.20, 921,661.80 and 509,378.80 is: 764,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,441.20 : 921,661.80 = 509,378.80 : x
  2. Step 2: Convert to fraction form
    614,441.20/921,661.80 = 509,378.80/x
  3. Step 3: Cross multiply
    614,441.20x = 921,661.80 × 509,378.80
  4. Step 4: Simplify right side
    614,441.20x = 469,474,981,689.84
  5. Step 5: Solve for x
    x = 469,474,981,689.84/614,441.20
  6. Step 6: Final answer
    x = 764,068.20

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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.