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Finding the Fourth Proportional to 617,632.40, 924,893.40 and 406,125.20

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Solution

The fourth proportional to 617,632.40, 924,893.40 and 406,125.20 is: 608,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,632.40 : 924,893.40 = 406,125.20 : x
  2. Step 2: Convert to fraction form
    617,632.40/924,893.40 = 406,125.20/x
  3. Step 3: Cross multiply
    617,632.40x = 924,893.40 × 406,125.20
  4. Step 4: Simplify right side
    617,632.40x = 375,622,517,053.68
  5. Step 5: Solve for x
    x = 375,622,517,053.68/617,632.40
  6. Step 6: Final answer
    x = 608,165.18

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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.