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Finding the Fourth Proportional to 410,164.60, 615,246.90 and 310,631.80

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Solution

The fourth proportional to 410,164.60, 615,246.90 and 310,631.80 is: 465,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,164.60 : 615,246.90 = 310,631.80 : x
  2. Step 2: Convert to fraction form
    410,164.60/615,246.90 = 310,631.80/x
  3. Step 3: Cross multiply
    410,164.60x = 615,246.90 × 310,631.80
  4. Step 4: Simplify right side
    410,164.60x = 191,115,251,991.42
  5. Step 5: Solve for x
    x = 191,115,251,991.42/410,164.60
  6. Step 6: Final answer
    x = 465,947.70

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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.