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Finding the Fourth Proportional to 577,167.40, 865,751.10 and 417,735.10

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Solution

The fourth proportional to 577,167.40, 865,751.10 and 417,735.10 is: 626,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,167.40 : 865,751.10 = 417,735.10 : x
  2. Step 2: Convert to fraction form
    577,167.40/865,751.10 = 417,735.10/x
  3. Step 3: Cross multiply
    577,167.40x = 865,751.10 × 417,735.10
  4. Step 4: Simplify right side
    577,167.40x = 361,654,622,333.61
  5. Step 5: Solve for x
    x = 361,654,622,333.61/577,167.40
  6. Step 6: Final answer
    x = 626,602.65

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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.