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Finding the Fourth Proportional to 801,434.64, 1,202,034.24 and 302,682

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Solution

The fourth proportional to 801,434.64, 1,202,034.24 and 302,682 is: 453,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,434.64 : 1,202,034.24 = 302,682 : x
  2. Step 2: Convert to fraction form
    801,434.64/1,202,034.24 = 302,682/x
  3. Step 3: Cross multiply
    801,434.64x = 1,202,034.24 × 302,682
  4. Step 4: Simplify right side
    801,434.64x = 363,834,127,831.68
  5. Step 5: Solve for x
    x = 363,834,127,831.68/801,434.64
  6. Step 6: Final answer
    x = 453,978.54

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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.