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Finding the Fourth Proportional to 508,023.20, 761,937.65 and 255,233.64

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Solution

The fourth proportional to 508,023.20, 761,937.65 and 255,233.64 is: 382,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,023.20 : 761,937.65 = 255,233.64 : x
  2. Step 2: Convert to fraction form
    508,023.20/761,937.65 = 255,233.64/x
  3. Step 3: Cross multiply
    508,023.20x = 761,937.65 × 255,233.64
  4. Step 4: Simplify right side
    508,023.20x = 194,472,122,400.77
  5. Step 5: Solve for x
    x = 194,472,122,400.77/508,023.20
  6. Step 6: Final answer
    x = 382,801.65

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