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Finding the Fourth Proportional to 410,355.20, 615,532.80 and 408,022.40

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Solution

The fourth proportional to 410,355.20, 615,532.80 and 408,022.40 is: 612,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,355.20 : 615,532.80 = 408,022.40 : x
  2. Step 2: Convert to fraction form
    410,355.20/615,532.80 = 408,022.40/x
  3. Step 3: Cross multiply
    410,355.20x = 615,532.80 × 408,022.40
  4. Step 4: Simplify right side
    410,355.20x = 251,151,170,334.72
  5. Step 5: Solve for x
    x = 251,151,170,334.72/410,355.20
  6. Step 6: Final answer
    x = 612,033.60

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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.