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Finding the Fourth Proportional to 511,785.75, 767,646.33 and 199,868.61

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Solution

The fourth proportional to 511,785.75, 767,646.33 and 199,868.61 is: 299,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,785.75 : 767,646.33 = 199,868.61 : x
  2. Step 2: Convert to fraction form
    511,785.75/767,646.33 = 199,868.61/x
  3. Step 3: Cross multiply
    511,785.75x = 767,646.33 × 199,868.61
  4. Step 4: Simplify right side
    511,785.75x = 153,428,404,948.70
  5. Step 5: Solve for x
    x = 153,428,404,948.70/511,785.75
  6. Step 6: Final answer
    x = 299,790.30

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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.