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Finding the Fourth Proportional to 511,785.38, 706,035.60 and 296,800.85

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Solution

The fourth proportional to 511,785.38, 706,035.60 and 296,800.85 is: 409,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,785.38 : 706,035.60 = 296,800.85 : x
  2. Step 2: Convert to fraction form
    511,785.38/706,035.60 = 296,800.85/x
  3. Step 3: Cross multiply
    511,785.38x = 706,035.60 × 296,800.85
  4. Step 4: Simplify right side
    511,785.38x = 209,551,962,680.08
  5. Step 5: Solve for x
    x = 209,551,962,680.08/511,785.38
  6. Step 6: Final answer
    x = 409,452.82

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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.