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Finding the Fourth Proportional to 461,175.47, 687,178.45 and 410,869.01

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Solution

The fourth proportional to 461,175.47, 687,178.45 and 410,869.01 is: 612,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,175.47 : 687,178.45 = 410,869.01 : x
  2. Step 2: Convert to fraction form
    461,175.47/687,178.45 = 410,869.01/x
  3. Step 3: Cross multiply
    461,175.47x = 687,178.45 × 410,869.01
  4. Step 4: Simplify right side
    461,175.47x = 282,340,329,444.84
  5. Step 5: Solve for x
    x = 282,340,329,444.84/461,175.47
  6. Step 6: Final answer
    x = 612,218.88

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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.