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Finding the Fourth Proportional to 477,514.92, 716,194.51 and 140,476.78

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Solution

The fourth proportional to 477,514.92, 716,194.51 and 140,476.78 is: 210,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,514.92 : 716,194.51 = 140,476.78 : x
  2. Step 2: Convert to fraction form
    477,514.92/716,194.51 = 140,476.78/x
  3. Step 3: Cross multiply
    477,514.92x = 716,194.51 × 140,476.78
  4. Step 4: Simplify right side
    477,514.92x = 100,608,696,476.80
  5. Step 5: Solve for x
    x = 100,608,696,476.80/477,514.92
  6. Step 6: Final answer
    x = 210,692.26

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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.