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Finding the Fourth Proportional to 461,145.98, 687,134.75 and 410,839.51

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Solution

The fourth proportional to 461,145.98, 687,134.75 and 410,839.51 is: 612,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,145.98 : 687,134.75 = 410,839.51 : x
  2. Step 2: Convert to fraction form
    461,145.98/687,134.75 = 410,839.51/x
  3. Step 3: Cross multiply
    461,145.98x = 687,134.75 × 410,839.51
  4. Step 4: Simplify right side
    461,145.98x = 282,302,103,993.97
  5. Step 5: Solve for x
    x = 282,302,103,993.97/461,145.98
  6. Step 6: Final answer
    x = 612,175.14

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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.