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Finding the Fourth Proportional to 458,052.60, 687,078.90 and 407,314.20

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Solution

The fourth proportional to 458,052.60, 687,078.90 and 407,314.20 is: 610,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,052.60 : 687,078.90 = 407,314.20 : x
  2. Step 2: Convert to fraction form
    458,052.60/687,078.90 = 407,314.20/x
  3. Step 3: Cross multiply
    458,052.60x = 687,078.90 × 407,314.20
  4. Step 4: Simplify right side
    458,052.60x = 279,856,992,490.38
  5. Step 5: Solve for x
    x = 279,856,992,490.38/458,052.60
  6. Step 6: Final answer
    x = 610,971.30

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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.