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Finding the Fourth Proportional to 498,326.88, 747,609.24 and 161,367.90

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Solution

The fourth proportional to 498,326.88, 747,609.24 and 161,367.90 is: 242,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,326.88 : 747,609.24 = 161,367.90 : x
  2. Step 2: Convert to fraction form
    498,326.88/747,609.24 = 161,367.90/x
  3. Step 3: Cross multiply
    498,326.88x = 747,609.24 × 161,367.90
  4. Step 4: Simplify right side
    498,326.88x = 120,640,130,880.99
  5. Step 5: Solve for x
    x = 120,640,130,880.99/498,326.88
  6. Step 6: Final answer
    x = 242,090.35

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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.