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Finding the Fourth Proportional to 457,401.20, 686,101.80 and 208,083.20

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Solution

The fourth proportional to 457,401.20, 686,101.80 and 208,083.20 is: 312,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,401.20 : 686,101.80 = 208,083.20 : x
  2. Step 2: Convert to fraction form
    457,401.20/686,101.80 = 208,083.20/x
  3. Step 3: Cross multiply
    457,401.20x = 686,101.80 × 208,083.20
  4. Step 4: Simplify right side
    457,401.20x = 142,766,258,069.76
  5. Step 5: Solve for x
    x = 142,766,258,069.76/457,401.20
  6. Step 6: Final answer
    x = 312,124.80

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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.