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Finding the Fourth Proportional to 413,084.90, 619,689.89 and 146,782.10

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Solution

The fourth proportional to 413,084.90, 619,689.89 and 146,782.10 is: 220,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,084.90 : 619,689.89 = 146,782.10 : x
  2. Step 2: Convert to fraction form
    413,084.90/619,689.89 = 146,782.10/x
  3. Step 3: Cross multiply
    413,084.90x = 619,689.89 × 146,782.10
  4. Step 4: Simplify right side
    413,084.90x = 90,959,383,402.97
  5. Step 5: Solve for x
    x = 90,959,383,402.97/413,084.90
  6. Step 6: Final answer
    x = 220,195.37

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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.