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Finding the Fourth Proportional to 651,938.38, 978,073.90 and 202,663.14

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Solution

The fourth proportional to 651,938.38, 978,073.90 and 202,663.14 is: 304,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,938.38 : 978,073.90 = 202,663.14 : x
  2. Step 2: Convert to fraction form
    651,938.38/978,073.90 = 202,663.14/x
  3. Step 3: Cross multiply
    651,938.38x = 978,073.90 × 202,663.14
  4. Step 4: Simplify right side
    651,938.38x = 198,219,526,587.44
  5. Step 5: Solve for x
    x = 198,219,526,587.44/651,938.38
  6. Step 6: Final answer
    x = 304,046.41

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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.