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Finding the Fourth Proportional to 475,278.56, 712,917.84 and 159,735.46

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Solution

The fourth proportional to 475,278.56, 712,917.84 and 159,735.46 is: 239,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,278.56 : 712,917.84 = 159,735.46 : x
  2. Step 2: Convert to fraction form
    475,278.56/712,917.84 = 159,735.46/x
  3. Step 3: Cross multiply
    475,278.56x = 712,917.84 × 159,735.46
  4. Step 4: Simplify right side
    475,278.56x = 113,878,259,114.61
  5. Step 5: Solve for x
    x = 113,878,259,114.61/475,278.56
  6. Step 6: Final answer
    x = 239,603.19

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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.