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Finding the Fourth Proportional to 442,867.60, 664,301.40 and 440,243.20

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Solution

The fourth proportional to 442,867.60, 664,301.40 and 440,243.20 is: 660,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,867.60 : 664,301.40 = 440,243.20 : x
  2. Step 2: Convert to fraction form
    442,867.60/664,301.40 = 440,243.20/x
  3. Step 3: Cross multiply
    442,867.60x = 664,301.40 × 440,243.20
  4. Step 4: Simplify right side
    442,867.60x = 292,454,174,100.48
  5. Step 5: Solve for x
    x = 292,454,174,100.48/442,867.60
  6. Step 6: Final answer
    x = 660,364.80

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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.