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Finding the Fourth Proportional to 430,126, 593,545.80 and 239,132.56

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Solution

The fourth proportional to 430,126, 593,545.80 and 239,132.56 is: 329,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,126 : 593,545.80 = 239,132.56 : x
  2. Step 2: Convert to fraction form
    430,126/593,545.80 = 239,132.56/x
  3. Step 3: Cross multiply
    430,126x = 593,545.80 × 239,132.56
  4. Step 4: Simplify right side
    430,126x = 141,936,126,631.25
  5. Step 5: Solve for x
    x = 141,936,126,631.25/430,126
  6. Step 6: Final answer
    x = 329,987.32

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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.