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Finding the Fourth Proportional to 458,411.40, 687,617.10 and 417,077.10

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Solution

The fourth proportional to 458,411.40, 687,617.10 and 417,077.10 is: 625,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,411.40 : 687,617.10 = 417,077.10 : x
  2. Step 2: Convert to fraction form
    458,411.40/687,617.10 = 417,077.10/x
  3. Step 3: Cross multiply
    458,411.40x = 687,617.10 × 417,077.10
  4. Step 4: Simplify right side
    458,411.40x = 286,789,345,978.41
  5. Step 5: Solve for x
    x = 286,789,345,978.41/458,411.40
  6. Step 6: Final answer
    x = 625,615.65

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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.