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Finding the Fourth Proportional to 410,101.20, 615,151.80 and 251,816.40

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Solution

The fourth proportional to 410,101.20, 615,151.80 and 251,816.40 is: 377,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,101.20 : 615,151.80 = 251,816.40 : x
  2. Step 2: Convert to fraction form
    410,101.20/615,151.80 = 251,816.40/x
  3. Step 3: Cross multiply
    410,101.20x = 615,151.80 × 251,816.40
  4. Step 4: Simplify right side
    410,101.20x = 154,905,311,729.52
  5. Step 5: Solve for x
    x = 154,905,311,729.52/410,101.20
  6. Step 6: Final answer
    x = 377,724.60

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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.