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Finding the Fourth Proportional to 314,721.28, 472,198.50 and 146,332

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Solution

The fourth proportional to 314,721.28, 472,198.50 and 146,332 is: 219,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,721.28 : 472,198.50 = 146,332 : x
  2. Step 2: Convert to fraction form
    314,721.28/472,198.50 = 146,332/x
  3. Step 3: Cross multiply
    314,721.28x = 472,198.50 × 146,332
  4. Step 4: Simplify right side
    314,721.28x = 69,097,750,902
  5. Step 5: Solve for x
    x = 69,097,750,902/314,721.28
  6. Step 6: Final answer
    x = 219,552.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.