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Finding the Fourth Proportional to 511,007.32, 705,034.02 and 296,105.92

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Solution

The fourth proportional to 511,007.32, 705,034.02 and 296,105.92 is: 408,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,007.32 : 705,034.02 = 296,105.92 : x
  2. Step 2: Convert to fraction form
    511,007.32/705,034.02 = 296,105.92/x
  3. Step 3: Cross multiply
    511,007.32x = 705,034.02 × 296,105.92
  4. Step 4: Simplify right side
    511,007.32x = 208,764,747,123.40
  5. Step 5: Solve for x
    x = 208,764,747,123.40/511,007.32
  6. Step 6: Final answer
    x = 408,535.73

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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.