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Finding the Fourth Proportional to 420,362.56, 580,113.14 and 239,100.58

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Solution

The fourth proportional to 420,362.56, 580,113.14 and 239,100.58 is: 329,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,362.56 : 580,113.14 = 239,100.58 : x
  2. Step 2: Convert to fraction form
    420,362.56/580,113.14 = 239,100.58/x
  3. Step 3: Cross multiply
    420,362.56x = 580,113.14 × 239,100.58
  4. Step 4: Simplify right side
    420,362.56x = 138,705,387,044.12
  5. Step 5: Solve for x
    x = 138,705,387,044.12/420,362.56
  6. Step 6: Final answer
    x = 329,966.08

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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.