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Finding the Fourth Proportional to 498,675.60, 747,994.20 and 166,251.60

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Solution

The fourth proportional to 498,675.60, 747,994.20 and 166,251.60 is: 249,371.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,675.60 : 747,994.20 = 166,251.60 : x
  2. Step 2: Convert to fraction form
    498,675.60/747,994.20 = 166,251.60/x
  3. Step 3: Cross multiply
    498,675.60x = 747,994.20 × 166,251.60
  4. Step 4: Simplify right side
    498,675.60x = 124,355,232,540.72
  5. Step 5: Solve for x
    x = 124,355,232,540.72/498,675.60
  6. Step 6: Final answer
    x = 249,371.00

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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.