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Finding the Fourth Proportional to 316,079.76, 474,306.24 and 116,539.44

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Solution

The fourth proportional to 316,079.76, 474,306.24 and 116,539.44 is: 174,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,079.76 : 474,306.24 = 116,539.44 : x
  2. Step 2: Convert to fraction form
    316,079.76/474,306.24 = 116,539.44/x
  3. Step 3: Cross multiply
    316,079.76x = 474,306.24 × 116,539.44
  4. Step 4: Simplify right side
    316,079.76x = 55,275,383,598.11
  5. Step 5: Solve for x
    x = 55,275,383,598.11/316,079.76
  6. Step 6: Final answer
    x = 174,877.96

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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.