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Finding the Fourth Proportional to 754,125.32, 1,040,700 and 414,596

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Solution

The fourth proportional to 754,125.32, 1,040,700 and 414,596 is: 572,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,125.32 : 1,040,700 = 414,596 : x
  2. Step 2: Convert to fraction form
    754,125.32/1,040,700 = 414,596/x
  3. Step 3: Cross multiply
    754,125.32x = 1,040,700 × 414,596
  4. Step 4: Simplify right side
    754,125.32x = 431,470,057,200
  5. Step 5: Solve for x
    x = 431,470,057,200/754,125.32
  6. Step 6: Final answer
    x = 572,146.36

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