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Finding the Fourth Proportional to 461,149.48, 687,139.97 and 410,843.01

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Solution

The fourth proportional to 461,149.48, 687,139.97 and 410,843.01 is: 612,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,149.48 : 687,139.97 = 410,843.01 : x
  2. Step 2: Convert to fraction form
    461,149.48/687,139.97 = 410,843.01/x
  3. Step 3: Cross multiply
    461,149.48x = 687,139.97 × 410,843.01
  4. Step 4: Simplify right side
    461,149.48x = 282,306,654,088.67
  5. Step 5: Solve for x
    x = 282,306,654,088.67/461,149.48
  6. Step 6: Final answer
    x = 612,180.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.