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Finding the Fourth Proportional to 408,523.96, 563,763.04 and 229,675.96

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Solution

The fourth proportional to 408,523.96, 563,763.04 and 229,675.96 is: 316,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,523.96 : 563,763.04 = 229,675.96 : x
  2. Step 2: Convert to fraction form
    408,523.96/563,763.04 = 229,675.96/x
  3. Step 3: Cross multiply
    408,523.96x = 563,763.04 × 229,675.96
  4. Step 4: Simplify right side
    408,523.96x = 129,482,817,424.52
  5. Step 5: Solve for x
    x = 129,482,817,424.52/408,523.96
  6. Step 6: Final answer
    x = 316,952.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.