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Finding the Fourth Proportional to 509,411.60, 764,117.40 and 458,673.20

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Solution

The fourth proportional to 509,411.60, 764,117.40 and 458,673.20 is: 688,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,411.60 : 764,117.40 = 458,673.20 : x
  2. Step 2: Convert to fraction form
    509,411.60/764,117.40 = 458,673.20/x
  3. Step 3: Cross multiply
    509,411.60x = 764,117.40 × 458,673.20
  4. Step 4: Simplify right side
    509,411.60x = 350,480,173,033.68
  5. Step 5: Solve for x
    x = 350,480,173,033.68/509,411.60
  6. Step 6: Final answer
    x = 688,009.80

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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.