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Finding the Fourth Proportional to 765,998.88, 1,149,074.46 and 293,082

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Solution

The fourth proportional to 765,998.88, 1,149,074.46 and 293,082 is: 439,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,998.88 : 1,149,074.46 = 293,082 : x
  2. Step 2: Convert to fraction form
    765,998.88/1,149,074.46 = 293,082/x
  3. Step 3: Cross multiply
    765,998.88x = 1,149,074.46 × 293,082
  4. Step 4: Simplify right side
    765,998.88x = 336,773,040,885.72
  5. Step 5: Solve for x
    x = 336,773,040,885.72/765,998.88
  6. Step 6: Final answer
    x = 439,652.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.