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Finding the Fourth Proportional to 458,563.20, 687,844.80 and 143,019.60

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Solution

The fourth proportional to 458,563.20, 687,844.80 and 143,019.60 is: 214,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,563.20 : 687,844.80 = 143,019.60 : x
  2. Step 2: Convert to fraction form
    458,563.20/687,844.80 = 143,019.60/x
  3. Step 3: Cross multiply
    458,563.20x = 687,844.80 × 143,019.60
  4. Step 4: Simplify right side
    458,563.20x = 98,375,288,158.08
  5. Step 5: Solve for x
    x = 98,375,288,158.08/458,563.20
  6. Step 6: Final answer
    x = 214,529.40

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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.