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Finding the Fourth Proportional to 616,104.20, 923,465.10 and 261,057.80

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Solution

The fourth proportional to 616,104.20, 923,465.10 and 261,057.80 is: 391,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,104.20 : 923,465.10 = 261,057.80 : x
  2. Step 2: Convert to fraction form
    616,104.20/923,465.10 = 261,057.80/x
  3. Step 3: Cross multiply
    616,104.20x = 923,465.10 × 261,057.80
  4. Step 4: Simplify right side
    616,104.20x = 241,077,767,382.78
  5. Step 5: Solve for x
    x = 241,077,767,382.78/616,104.20
  6. Step 6: Final answer
    x = 391,293.82

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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.