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Finding the Fourth Proportional to 314,829.70, 472,384.14 and 165,034.24

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Solution

The fourth proportional to 314,829.70, 472,384.14 and 165,034.24 is: 247,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,829.70 : 472,384.14 = 165,034.24 : x
  2. Step 2: Convert to fraction form
    314,829.70/472,384.14 = 165,034.24/x
  3. Step 3: Cross multiply
    314,829.70x = 472,384.14 × 165,034.24
  4. Step 4: Simplify right side
    314,829.70x = 77,959,557,532.95
  5. Step 5: Solve for x
    x = 77,959,557,532.95/314,829.70
  6. Step 6: Final answer
    x = 247,624.53

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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.