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Finding the Fourth Proportional to 420,618.62, 580,431.72 and 229,595.10

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Solution

The fourth proportional to 420,618.62, 580,431.72 and 229,595.10 is: 316,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,618.62 : 580,431.72 = 229,595.10 : x
  2. Step 2: Convert to fraction form
    420,618.62/580,431.72 = 229,595.10/x
  3. Step 3: Cross multiply
    420,618.62x = 580,431.72 × 229,595.10
  4. Step 4: Simplify right side
    420,618.62x = 133,264,278,796.57
  5. Step 5: Solve for x
    x = 133,264,278,796.57/420,618.62
  6. Step 6: Final answer
    x = 316,829.24

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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.