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Finding the Fourth Proportional to 408,500.50, 563,730.69 and 229,652.50

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Solution

The fourth proportional to 408,500.50, 563,730.69 and 229,652.50 is: 316,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,500.50 : 563,730.69 = 229,652.50 : x
  2. Step 2: Convert to fraction form
    408,500.50/563,730.69 = 229,652.50/x
  3. Step 3: Cross multiply
    408,500.50x = 563,730.69 × 229,652.50
  4. Step 4: Simplify right side
    408,500.50x = 129,462,162,285.23
  5. Step 5: Solve for x
    x = 129,462,162,285.23/408,500.50
  6. Step 6: Final answer
    x = 316,920.45

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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.