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Finding the Fourth Proportional to 754,941, 1,041,825.88 and 415,416.56

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Solution

The fourth proportional to 754,941, 1,041,825.88 and 415,416.56 is: 573,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,941 : 1,041,825.88 = 415,416.56 : x
  2. Step 2: Convert to fraction form
    754,941/1,041,825.88 = 415,416.56/x
  3. Step 3: Cross multiply
    754,941x = 1,041,825.88 × 415,416.56
  4. Step 4: Simplify right side
    754,941x = 432,791,723,188.57
  5. Step 5: Solve for x
    x = 432,791,723,188.57/754,941
  6. Step 6: Final answer
    x = 573,278.87

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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.