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Finding the Fourth Proportional to 463,996.44, 696,098.22 and 148,472.28

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Solution

The fourth proportional to 463,996.44, 696,098.22 and 148,472.28 is: 222,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,996.44 : 696,098.22 = 148,472.28 : x
  2. Step 2: Convert to fraction form
    463,996.44/696,098.22 = 148,472.28/x
  3. Step 3: Cross multiply
    463,996.44x = 696,098.22 × 148,472.28
  4. Step 4: Simplify right side
    463,996.44x = 103,351,289,827.34
  5. Step 5: Solve for x
    x = 103,351,289,827.34/463,996.44
  6. Step 6: Final answer
    x = 222,741.56

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Similar ratio
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1.5x scale

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.