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Finding the Fourth Proportional to 786,516, 1,179,778.48 and 195,540

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Solution

The fourth proportional to 786,516, 1,179,778.48 and 195,540 is: 293,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,516 : 1,179,778.48 = 195,540 : x
  2. Step 2: Convert to fraction form
    786,516/1,179,778.48 = 195,540/x
  3. Step 3: Cross multiply
    786,516x = 1,179,778.48 × 195,540
  4. Step 4: Simplify right side
    786,516x = 230,693,883,979.20
  5. Step 5: Solve for x
    x = 230,693,883,979.20/786,516
  6. Step 6: Final answer
    x = 293,311.11

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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.