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Finding the Fourth Proportional to 541,686.69, 747,518.40 and 299,964.06

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Solution

The fourth proportional to 541,686.69, 747,518.40 and 299,964.06 is: 413,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,686.69 : 747,518.40 = 299,964.06 : x
  2. Step 2: Convert to fraction form
    541,686.69/747,518.40 = 299,964.06/x
  3. Step 3: Cross multiply
    541,686.69x = 747,518.40 × 299,964.06
  4. Step 4: Simplify right side
    541,686.69x = 224,228,654,188.70
  5. Step 5: Solve for x
    x = 224,228,654,188.70/541,686.69
  6. Step 6: Final answer
    x = 413,945.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.