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Finding the Fourth Proportional to 463,986.24, 695,865.76 and 148,377.76

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Solution

The fourth proportional to 463,986.24, 695,865.76 and 148,377.76 is: 222,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,986.24 : 695,865.76 = 148,377.76 : x
  2. Step 2: Convert to fraction form
    463,986.24/695,865.76 = 148,377.76/x
  3. Step 3: Cross multiply
    463,986.24x = 695,865.76 × 148,377.76
  4. Step 4: Simplify right side
    463,986.24x = 103,251,002,729.50
  5. Step 5: Solve for x
    x = 103,251,002,729.50/463,986.24
  6. Step 6: Final answer
    x = 222,530.31

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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.