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Finding the Fourth Proportional to 413,513.20, 620,342.70 and 147,428.20

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Solution

The fourth proportional to 413,513.20, 620,342.70 and 147,428.20 is: 221,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,513.20 : 620,342.70 = 147,428.20 : x
  2. Step 2: Convert to fraction form
    413,513.20/620,342.70 = 147,428.20/x
  3. Step 3: Cross multiply
    413,513.20x = 620,342.70 × 147,428.20
  4. Step 4: Simplify right side
    413,513.20x = 91,456,007,644.14
  5. Step 5: Solve for x
    x = 91,456,007,644.14/413,513.20
  6. Step 6: Final answer
    x = 221,168.29

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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.