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Finding the Fourth Proportional to 408,454.74, 563,662.53 and 229,606.74

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Solution

The fourth proportional to 408,454.74, 563,662.53 and 229,606.74 is: 316,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,454.74 : 563,662.53 = 229,606.74 : x
  2. Step 2: Convert to fraction form
    408,454.74/563,662.53 = 229,606.74/x
  3. Step 3: Cross multiply
    408,454.74x = 563,662.53 × 229,606.74
  4. Step 4: Simplify right side
    408,454.74x = 129,420,715,973.45
  5. Step 5: Solve for x
    x = 129,420,715,973.45/408,454.74
  6. Step 6: Final answer
    x = 316,854.48

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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.