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Finding the Fourth Proportional to 410,012.70, 615,019.05 and 185,286.30

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Solution

The fourth proportional to 410,012.70, 615,019.05 and 185,286.30 is: 277,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,012.70 : 615,019.05 = 185,286.30 : x
  2. Step 2: Convert to fraction form
    410,012.70/615,019.05 = 185,286.30/x
  3. Step 3: Cross multiply
    410,012.70x = 615,019.05 × 185,286.30
  4. Step 4: Simplify right side
    410,012.70x = 113,954,604,204.02
  5. Step 5: Solve for x
    x = 113,954,604,204.02/410,012.70
  6. Step 6: Final answer
    x = 277,929.45

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Similar ratio
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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.