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Finding the Fourth Proportional to 471,947.16, 707,546.52 and 247,264.50

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Solution

The fourth proportional to 471,947.16, 707,546.52 and 247,264.50 is: 370,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,947.16 : 707,546.52 = 247,264.50 : x
  2. Step 2: Convert to fraction form
    471,947.16/707,546.52 = 247,264.50/x
  3. Step 3: Cross multiply
    471,947.16x = 707,546.52 × 247,264.50
  4. Step 4: Simplify right side
    471,947.16x = 174,951,136,494.54
  5. Step 5: Solve for x
    x = 174,951,136,494.54/471,947.16
  6. Step 6: Final answer
    x = 370,700.69

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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.