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Finding the Fourth Proportional to 381,714.12, 572,527.44 and 101,253.24

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Solution

The fourth proportional to 381,714.12, 572,527.44 and 101,253.24 is: 151,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,714.12 : 572,527.44 = 101,253.24 : x
  2. Step 2: Convert to fraction form
    381,714.12/572,527.44 = 101,253.24/x
  3. Step 3: Cross multiply
    381,714.12x = 572,527.44 × 101,253.24
  4. Step 4: Simplify right side
    381,714.12x = 57,970,258,288.91
  5. Step 5: Solve for x
    x = 57,970,258,288.91/381,714.12
  6. Step 6: Final answer
    x = 151,868.26

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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.