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Finding the Fourth Proportional to 315,876.48, 474,001.38 and 116,337.12

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Solution

The fourth proportional to 315,876.48, 474,001.38 and 116,337.12 is: 174,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,876.48 : 474,001.38 = 116,337.12 : x
  2. Step 2: Convert to fraction form
    315,876.48/474,001.38 = 116,337.12/x
  3. Step 3: Cross multiply
    315,876.48x = 474,001.38 × 116,337.12
  4. Step 4: Simplify right side
    315,876.48x = 55,143,955,425.23
  5. Step 5: Solve for x
    x = 55,143,955,425.23/315,876.48
  6. Step 6: Final answer
    x = 174,574.43

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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.