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Finding the Fourth Proportional to 475,306.40, 713,067.60 and 159,795.20

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Solution

The fourth proportional to 475,306.40, 713,067.60 and 159,795.20 is: 239,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,306.40 : 713,067.60 = 159,795.20 : x
  2. Step 2: Convert to fraction form
    475,306.40/713,067.60 = 159,795.20/x
  3. Step 3: Cross multiply
    475,306.40x = 713,067.60 × 159,795.20
  4. Step 4: Simplify right side
    475,306.40x = 113,944,779,755.52
  5. Step 5: Solve for x
    x = 113,944,779,755.52/475,306.40
  6. Step 6: Final answer
    x = 239,729.11

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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.