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Finding the Fourth Proportional to 410,306.20, 615,167.70 and 185,774.20

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Solution

The fourth proportional to 410,306.20, 615,167.70 and 185,774.20 is: 278,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,306.20 : 615,167.70 = 185,774.20 : x
  2. Step 2: Convert to fraction form
    410,306.20/615,167.70 = 185,774.20/x
  3. Step 3: Cross multiply
    410,306.20x = 615,167.70 × 185,774.20
  4. Step 4: Simplify right side
    410,306.20x = 114,282,287,333.34
  5. Step 5: Solve for x
    x = 114,282,287,333.34/410,306.20
  6. Step 6: Final answer
    x = 278,529.27

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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.