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Finding the Fourth Proportional to 567,252.80, 849,842.40 and 461,499.20

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Solution

The fourth proportional to 567,252.80, 849,842.40 and 461,499.20 is: 691,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,252.80 : 849,842.40 = 461,499.20 : x
  2. Step 2: Convert to fraction form
    567,252.80/849,842.40 = 461,499.20/x
  3. Step 3: Cross multiply
    567,252.80x = 849,842.40 × 461,499.20
  4. Step 4: Simplify right side
    567,252.80x = 392,201,587,726.08
  5. Step 5: Solve for x
    x = 392,201,587,726.08/567,252.80
  6. Step 6: Final answer
    x = 691,405.29

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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.