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Finding the Fourth Proportional to 461,173.47, 687,175.47 and 410,867.01

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Solution

The fourth proportional to 461,173.47, 687,175.47 and 410,867.01 is: 612,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,173.47 : 687,175.47 = 410,867.01 : x
  2. Step 2: Convert to fraction form
    461,173.47/687,175.47 = 410,867.01/x
  3. Step 3: Cross multiply
    461,173.47x = 687,175.47 × 410,867.01
  4. Step 4: Simplify right side
    461,173.47x = 282,337,730,704.25
  5. Step 5: Solve for x
    x = 282,337,730,704.25/461,173.47
  6. Step 6: Final answer
    x = 612,215.90

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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.