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Finding the Fourth Proportional to 334,687.40, 501,694.14 and 147,665.96

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Solution

The fourth proportional to 334,687.40, 501,694.14 and 147,665.96 is: 221,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,687.40 : 501,694.14 = 147,665.96 : x
  2. Step 2: Convert to fraction form
    334,687.40/501,694.14 = 147,665.96/x
  3. Step 3: Cross multiply
    334,687.40x = 501,694.14 × 147,665.96
  4. Step 4: Simplify right side
    334,687.40x = 74,083,146,809.47
  5. Step 5: Solve for x
    x = 74,083,146,809.47/334,687.40
  6. Step 6: Final answer
    x = 221,350.27

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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.