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Finding the Fourth Proportional to 458,617.20, 687,695.40 and 209,017.20

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Solution

The fourth proportional to 458,617.20, 687,695.40 and 209,017.20 is: 313,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,617.20 : 687,695.40 = 209,017.20 : x
  2. Step 2: Convert to fraction form
    458,617.20/687,695.40 = 209,017.20/x
  3. Step 3: Cross multiply
    458,617.20x = 687,695.40 × 209,017.20
  4. Step 4: Simplify right side
    458,617.20x = 143,740,166,960.88
  5. Step 5: Solve for x
    x = 143,740,166,960.88/458,617.20
  6. Step 6: Final answer
    x = 313,420.79

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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.