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Finding the Fourth Proportional to 393,714.16, 590,665.10 and 127,474.76

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Solution

The fourth proportional to 393,714.16, 590,665.10 and 127,474.76 is: 191,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,714.16 : 590,665.10 = 127,474.76 : x
  2. Step 2: Convert to fraction form
    393,714.16/590,665.10 = 127,474.76/x
  3. Step 3: Cross multiply
    393,714.16x = 590,665.10 × 127,474.76
  4. Step 4: Simplify right side
    393,714.16x = 75,294,888,272.18
  5. Step 5: Solve for x
    x = 75,294,888,272.18/393,714.16
  6. Step 6: Final answer
    x = 191,242.52

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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.