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Finding the Fourth Proportional to 494,587.80, 741,708.90 and 257,851.80

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Solution

The fourth proportional to 494,587.80, 741,708.90 and 257,851.80 is: 386,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,587.80 : 741,708.90 = 257,851.80 : x
  2. Step 2: Convert to fraction form
    494,587.80/741,708.90 = 257,851.80/x
  3. Step 3: Cross multiply
    494,587.80x = 741,708.90 × 257,851.80
  4. Step 4: Simplify right side
    494,587.80x = 191,250,974,941.02
  5. Step 5: Solve for x
    x = 191,250,974,941.02/494,587.80
  6. Step 6: Final answer
    x = 386,687.61

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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.