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Finding the Fourth Proportional to 420,607.14, 580,421.46 and 229,622.10

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Solution

The fourth proportional to 420,607.14, 580,421.46 and 229,622.10 is: 316,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,607.14 : 580,421.46 = 229,622.10 : x
  2. Step 2: Convert to fraction form
    420,607.14/580,421.46 = 229,622.10/x
  3. Step 3: Cross multiply
    420,607.14x = 580,421.46 × 229,622.10
  4. Step 4: Simplify right side
    420,607.14x = 133,277,594,530.27
  5. Step 5: Solve for x
    x = 133,277,594,530.27/420,607.14
  6. Step 6: Final answer
    x = 316,869.55

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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.