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Finding the Fourth Proportional to 413,006.20, 619,509.30 and 272,001.40

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Solution

The fourth proportional to 413,006.20, 619,509.30 and 272,001.40 is: 408,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,006.20 : 619,509.30 = 272,001.40 : x
  2. Step 2: Convert to fraction form
    413,006.20/619,509.30 = 272,001.40/x
  3. Step 3: Cross multiply
    413,006.20x = 619,509.30 × 272,001.40
  4. Step 4: Simplify right side
    413,006.20x = 168,507,396,913.02
  5. Step 5: Solve for x
    x = 168,507,396,913.02/413,006.20
  6. Step 6: Final answer
    x = 408,002.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.