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Finding the Fourth Proportional to 540,901.71, 746,394.12 and 299,179.08

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Solution

The fourth proportional to 540,901.71, 746,394.12 and 299,179.08 is: 412,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,901.71 : 746,394.12 = 299,179.08 : x
  2. Step 2: Convert to fraction form
    540,901.71/746,394.12 = 299,179.08/x
  3. Step 3: Cross multiply
    540,901.71x = 746,394.12 × 299,179.08
  4. Step 4: Simplify right side
    540,901.71x = 223,305,506,139.01
  5. Step 5: Solve for x
    x = 223,305,506,139.01/540,901.71
  6. Step 6: Final answer
    x = 412,839.34

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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.