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Finding the Fourth Proportional to 463,102.36, 694,654.02 and 147,559

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Solution

The fourth proportional to 463,102.36, 694,654.02 and 147,559 is: 221,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,102.36 : 694,654.02 = 147,559 : x
  2. Step 2: Convert to fraction form
    463,102.36/694,654.02 = 147,559/x
  3. Step 3: Cross multiply
    463,102.36x = 694,654.02 × 147,559
  4. Step 4: Simplify right side
    463,102.36x = 102,502,452,537.18
  5. Step 5: Solve for x
    x = 102,502,452,537.18/463,102.36
  6. Step 6: Final answer
    x = 221,338.65

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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.