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Finding the Fourth Proportional to 408,052.96, 563,148.48 and 238,341.76

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Solution

The fourth proportional to 408,052.96, 563,148.48 and 238,341.76 is: 328,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,052.96 : 563,148.48 = 238,341.76 : x
  2. Step 2: Convert to fraction form
    408,052.96/563,148.48 = 238,341.76/x
  3. Step 3: Cross multiply
    408,052.96x = 563,148.48 × 238,341.76
  4. Step 4: Simplify right side
    408,052.96x = 134,221,799,864.53
  5. Step 5: Solve for x
    x = 134,221,799,864.53/408,052.96
  6. Step 6: Final answer
    x = 328,932.30

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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.