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Finding the Fourth Proportional to 746,098.75, 1,029,616.41 and 406,567

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Solution

The fourth proportional to 746,098.75, 1,029,616.41 and 406,567 is: 561,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,098.75 : 1,029,616.41 = 406,567 : x
  2. Step 2: Convert to fraction form
    746,098.75/1,029,616.41 = 406,567/x
  3. Step 3: Cross multiply
    746,098.75x = 1,029,616.41 × 406,567
  4. Step 4: Simplify right side
    746,098.75x = 418,608,054,964.47
  5. Step 5: Solve for x
    x = 418,608,054,964.47/746,098.75
  6. Step 6: Final answer
    x = 561,062.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.