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Finding the Fourth Proportional to 653,009.20, 978,201.60 and 440,432.80

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Solution

The fourth proportional to 653,009.20, 978,201.60 and 440,432.80 is: 659,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,009.20 : 978,201.60 = 440,432.80 : x
  2. Step 2: Convert to fraction form
    653,009.20/978,201.60 = 440,432.80/x
  3. Step 3: Cross multiply
    653,009.20x = 978,201.60 × 440,432.80
  4. Step 4: Simplify right side
    653,009.20x = 430,832,069,652.48
  5. Step 5: Solve for x
    x = 430,832,069,652.48/653,009.20
  6. Step 6: Final answer
    x = 659,764.17

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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.