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Finding the Fourth Proportional to 498,652, 748,016.96 and 166,228

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Solution

The fourth proportional to 498,652, 748,016.96 and 166,228 is: 249,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,652 : 748,016.96 = 166,228 : x
  2. Step 2: Convert to fraction form
    498,652/748,016.96 = 166,228/x
  3. Step 3: Cross multiply
    498,652x = 748,016.96 × 166,228
  4. Step 4: Simplify right side
    498,652x = 124,341,363,226.88
  5. Step 5: Solve for x
    x = 124,341,363,226.88/498,652
  6. Step 6: Final answer
    x = 249,354.99

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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.