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Finding the Fourth Proportional to 410,000.60, 615,116.10 and 199,645.40

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Solution

The fourth proportional to 410,000.60, 615,116.10 and 199,645.40 is: 299,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,000.60 : 615,116.10 = 199,645.40 : x
  2. Step 2: Convert to fraction form
    410,000.60/615,116.10 = 199,645.40/x
  3. Step 3: Cross multiply
    410,000.60x = 615,116.10 × 199,645.40
  4. Step 4: Simplify right side
    410,000.60x = 122,805,099,830.94
  5. Step 5: Solve for x
    x = 122,805,099,830.94/410,000.60
  6. Step 6: Final answer
    x = 299,524.20

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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.