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Finding the Fourth Proportional to 408,527.45, 563,767.86 and 229,679.45

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Solution

The fourth proportional to 408,527.45, 563,767.86 and 229,679.45 is: 316,957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,527.45 : 563,767.86 = 229,679.45 : x
  2. Step 2: Convert to fraction form
    408,527.45/563,767.86 = 229,679.45/x
  3. Step 3: Cross multiply
    408,527.45x = 563,767.86 × 229,679.45
  4. Step 4: Simplify right side
    408,527.45x = 129,485,889,193.64
  5. Step 5: Solve for x
    x = 129,485,889,193.64/408,527.45
  6. Step 6: Final answer
    x = 316,957.63

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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.