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Finding the Fourth Proportional to 498,806.46, 748,507.78 and 183,295.26

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Solution

The fourth proportional to 498,806.46, 748,507.78 and 183,295.26 is: 275,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,806.46 : 748,507.78 = 183,295.26 : x
  2. Step 2: Convert to fraction form
    498,806.46/748,507.78 = 183,295.26/x
  3. Step 3: Cross multiply
    498,806.46x = 748,507.78 × 183,295.26
  4. Step 4: Simplify right side
    498,806.46x = 137,197,930,152.11
  5. Step 5: Solve for x
    x = 137,197,930,152.11/498,806.46
  6. Step 6: Final answer
    x = 275,052.43

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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.