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Finding the Fourth Proportional to 265,616.50, 398,502.78 and 78,632.86

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Solution

The fourth proportional to 265,616.50, 398,502.78 and 78,632.86 is: 117,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,616.50 : 398,502.78 = 78,632.86 : x
  2. Step 2: Convert to fraction form
    265,616.50/398,502.78 = 78,632.86/x
  3. Step 3: Cross multiply
    265,616.50x = 398,502.78 × 78,632.86
  4. Step 4: Simplify right side
    265,616.50x = 31,335,413,309.35
  5. Step 5: Solve for x
    x = 31,335,413,309.35/265,616.50
  6. Step 6: Final answer
    x = 117,972.39

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1.5x scale

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.