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Finding the Fourth Proportional to 498,998.40, 748,967.40 and 262,510.80

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Solution

The fourth proportional to 498,998.40, 748,967.40 and 262,510.80 is: 394,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,998.40 : 748,967.40 = 262,510.80 : x
  2. Step 2: Convert to fraction form
    498,998.40/748,967.40 = 262,510.80/x
  3. Step 3: Cross multiply
    498,998.40x = 748,967.40 × 262,510.80
  4. Step 4: Simplify right side
    498,998.40x = 196,612,031,347.92
  5. Step 5: Solve for x
    x = 196,612,031,347.92/498,998.40
  6. Step 6: Final answer
    x = 394,013.35

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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.