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Finding the Fourth Proportional to 386,503.20, 580,042.80 and 199,418.40

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Solution

The fourth proportional to 386,503.20, 580,042.80 and 199,418.40 is: 299,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,503.20 : 580,042.80 = 199,418.40 : x
  2. Step 2: Convert to fraction form
    386,503.20/580,042.80 = 199,418.40/x
  3. Step 3: Cross multiply
    386,503.20x = 580,042.80 × 199,418.40
  4. Step 4: Simplify right side
    386,503.20x = 115,671,207,107.52
  5. Step 5: Solve for x
    x = 115,671,207,107.52/386,503.20
  6. Step 6: Final answer
    x = 299,276.20

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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.