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Finding the Fourth Proportional to 412,934.14, 569,892.27 and 231,695.02

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Solution

The fourth proportional to 412,934.14, 569,892.27 and 231,695.02 is: 319,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,934.14 : 569,892.27 = 231,695.02 : x
  2. Step 2: Convert to fraction form
    412,934.14/569,892.27 = 231,695.02/x
  3. Step 3: Cross multiply
    412,934.14x = 569,892.27 × 231,695.02
  4. Step 4: Simplify right side
    412,934.14x = 132,041,200,895.50
  5. Step 5: Solve for x
    x = 132,041,200,895.50/412,934.14
  6. Step 6: Final answer
    x = 319,763.34

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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.