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Finding the Fourth Proportional to 461,147.98, 687,137.73 and 410,841.51

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Solution

The fourth proportional to 461,147.98, 687,137.73 and 410,841.51 is: 612,178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,147.98 : 687,137.73 = 410,841.51 : x
  2. Step 2: Convert to fraction form
    461,147.98/687,137.73 = 410,841.51/x
  3. Step 3: Cross multiply
    461,147.98x = 687,137.73 × 410,841.51
  4. Step 4: Simplify right side
    461,147.98x = 282,304,702,571.17
  5. Step 5: Solve for x
    x = 282,304,702,571.17/461,147.98
  6. Step 6: Final answer
    x = 612,178.12

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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.