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Finding the Fourth Proportional to 420,645.07, 580,487.16 and 229,658.46

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Solution

The fourth proportional to 420,645.07, 580,487.16 and 229,658.46 is: 316,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,645.07 : 580,487.16 = 229,658.46 : x
  2. Step 2: Convert to fraction form
    420,645.07/580,487.16 = 229,658.46/x
  3. Step 3: Cross multiply
    420,645.07x = 580,487.16 × 229,658.46
  4. Step 4: Simplify right side
    420,645.07x = 133,313,787,215.37
  5. Step 5: Solve for x
    x = 133,313,787,215.37/420,645.07
  6. Step 6: Final answer
    x = 316,927.02

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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.