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Finding the Fourth Proportional to 408,527.46, 563,767.88 and 229,679.46

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Solution

The fourth proportional to 408,527.46, 563,767.88 and 229,679.46 is: 316,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,527.46 : 563,767.88 = 229,679.46 : x
  2. Step 2: Convert to fraction form
    408,527.46/563,767.88 = 229,679.46/x
  3. Step 3: Cross multiply
    408,527.46x = 563,767.88 × 229,679.46
  4. Step 4: Simplify right side
    408,527.46x = 129,485,901,095.35
  5. Step 5: Solve for x
    x = 129,485,901,095.35/408,527.46
  6. Step 6: Final answer
    x = 316,957.64

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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.