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Finding the Fourth Proportional to 458,616.20, 687,693.90 and 209,016.20

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Solution

The fourth proportional to 458,616.20, 687,693.90 and 209,016.20 is: 313,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,616.20 : 687,693.90 = 209,016.20 : x
  2. Step 2: Convert to fraction form
    458,616.20/687,693.90 = 209,016.20/x
  3. Step 3: Cross multiply
    458,616.20x = 687,693.90 × 209,016.20
  4. Step 4: Simplify right side
    458,616.20x = 143,739,165,741.18
  5. Step 5: Solve for x
    x = 143,739,165,741.18/458,616.20
  6. Step 6: Final answer
    x = 313,419.29

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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.