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Finding the Fourth Proportional to 376,225.20, 564,571.92 and 234,349.08

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Solution

The fourth proportional to 376,225.20, 564,571.92 and 234,349.08 is: 351,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,225.20 : 564,571.92 = 234,349.08 : x
  2. Step 2: Convert to fraction form
    376,225.20/564,571.92 = 234,349.08/x
  3. Step 3: Cross multiply
    376,225.20x = 564,571.92 × 234,349.08
  4. Step 4: Simplify right side
    376,225.20x = 132,306,910,045.83
  5. Step 5: Solve for x
    x = 132,306,910,045.83/376,225.20
  6. Step 6: Final answer
    x = 351,669.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.