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Finding the Fourth Proportional to 430,319.91, 644,889.34 and 272,265.42

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Solution

The fourth proportional to 430,319.91, 644,889.34 and 272,265.42 is: 408,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,319.91 : 644,889.34 = 272,265.42 : x
  2. Step 2: Convert to fraction form
    430,319.91/644,889.34 = 272,265.42/x
  3. Step 3: Cross multiply
    430,319.91x = 644,889.34 × 272,265.42
  4. Step 4: Simplify right side
    430,319.91x = 175,581,067,008.62
  5. Step 5: Solve for x
    x = 175,581,067,008.62/430,319.91
  6. Step 6: Final answer
    x = 408,024.50

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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.