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Finding the Fourth Proportional to 657,113.78, 985,792.17 and 207,947.72

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Solution

The fourth proportional to 657,113.78, 985,792.17 and 207,947.72 is: 311,960.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,113.78 : 985,792.17 = 207,947.72 : x
  2. Step 2: Convert to fraction form
    657,113.78/985,792.17 = 207,947.72/x
  3. Step 3: Cross multiply
    657,113.78x = 985,792.17 × 207,947.72
  4. Step 4: Simplify right side
    657,113.78x = 204,993,234,145.35
  5. Step 5: Solve for x
    x = 204,993,234,145.35/657,113.78
  6. Step 6: Final answer
    x = 311,960.03

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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.