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Finding the Fourth Proportional to 314,732.56, 472,238.36 and 164,937.24

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Solution

The fourth proportional to 314,732.56, 472,238.36 and 164,937.24 is: 247,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,732.56 : 472,238.36 = 164,937.24 : x
  2. Step 2: Convert to fraction form
    314,732.56/472,238.36 = 164,937.24/x
  3. Step 3: Cross multiply
    314,732.56x = 472,238.36 × 164,937.24
  4. Step 4: Simplify right side
    314,732.56x = 77,889,691,720.53
  5. Step 5: Solve for x
    x = 77,889,691,720.53/314,732.56
  6. Step 6: Final answer
    x = 247,478.98

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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.