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Finding the Fourth Proportional to 414,443.60, 621,358.20 and 177,592.40

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Solution

The fourth proportional to 414,443.60, 621,358.20 and 177,592.40 is: 266,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,443.60 : 621,358.20 = 177,592.40 : x
  2. Step 2: Convert to fraction form
    414,443.60/621,358.20 = 177,592.40/x
  3. Step 3: Cross multiply
    414,443.60x = 621,358.20 × 177,592.40
  4. Step 4: Simplify right side
    414,443.60x = 110,348,493,997.68
  5. Step 5: Solve for x
    x = 110,348,493,997.68/414,443.60
  6. Step 6: Final answer
    x = 266,256.96

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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.