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Finding the Fourth Proportional to 458,688.40, 688,032.60 and 417,354.10

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Solution

The fourth proportional to 458,688.40, 688,032.60 and 417,354.10 is: 626,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,688.40 : 688,032.60 = 417,354.10 : x
  2. Step 2: Convert to fraction form
    458,688.40/688,032.60 = 417,354.10/x
  3. Step 3: Cross multiply
    458,688.40x = 688,032.60 × 417,354.10
  4. Step 4: Simplify right side
    458,688.40x = 287,153,226,543.66
  5. Step 5: Solve for x
    x = 287,153,226,543.66/458,688.40
  6. Step 6: Final answer
    x = 626,031.15

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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.