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Finding the Fourth Proportional to 498,885.50, 748,334.73 and 166,461.50

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Solution

The fourth proportional to 498,885.50, 748,334.73 and 166,461.50 is: 249,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,885.50 : 748,334.73 = 166,461.50 : x
  2. Step 2: Convert to fraction form
    498,885.50/748,334.73 = 166,461.50/x
  3. Step 3: Cross multiply
    498,885.50x = 748,334.73 × 166,461.50
  4. Step 4: Simplify right side
    498,885.50x = 124,568,921,657.90
  5. Step 5: Solve for x
    x = 124,568,921,657.90/498,885.50
  6. Step 6: Final answer
    x = 249,694.41

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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.