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Finding the Fourth Proportional to 408,366.40, 563,462.63 and 238,567.72

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Solution

The fourth proportional to 408,366.40, 563,462.63 and 238,567.72 is: 329,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,366.40 : 563,462.63 = 238,567.72 : x
  2. Step 2: Convert to fraction form
    408,366.40/563,462.63 = 238,567.72/x
  3. Step 3: Cross multiply
    408,366.40x = 563,462.63 × 238,567.72
  4. Step 4: Simplify right side
    408,366.40x = 134,423,992,723.41
  5. Step 5: Solve for x
    x = 134,423,992,723.41/408,366.40
  6. Step 6: Final answer
    x = 329,174.96

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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.