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Finding the Fourth Proportional to 840,809.88, 1,160,342.28 and 458,861.22

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Solution

The fourth proportional to 840,809.88, 1,160,342.28 and 458,861.22 is: 633,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,809.88 : 1,160,342.28 = 458,861.22 : x
  2. Step 2: Convert to fraction form
    840,809.88/1,160,342.28 = 458,861.22/x
  3. Step 3: Cross multiply
    840,809.88x = 1,160,342.28 × 458,861.22
  4. Step 4: Simplify right side
    840,809.88x = 532,436,074,218.38
  5. Step 5: Solve for x
    x = 532,436,074,218.38/840,809.88
  6. Step 6: Final answer
    x = 633,241.93

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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.