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Finding the Fourth Proportional to 754,272, 1,040,924.52 and 414,732.96

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Solution

The fourth proportional to 754,272, 1,040,924.52 and 414,732.96 is: 572,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,272 : 1,040,924.52 = 414,732.96 : x
  2. Step 2: Convert to fraction form
    754,272/1,040,924.52 = 414,732.96/x
  3. Step 3: Cross multiply
    754,272x = 1,040,924.52 × 414,732.96
  4. Step 4: Simplify right side
    754,272x = 431,705,707,316.18
  5. Step 5: Solve for x
    x = 431,705,707,316.18/754,272
  6. Step 6: Final answer
    x = 572,347.52

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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.