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Finding the Fourth Proportional to 497,311.80, 745,967.70 and 123,334.80

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Solution

The fourth proportional to 497,311.80, 745,967.70 and 123,334.80 is: 185,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,311.80 : 745,967.70 = 123,334.80 : x
  2. Step 2: Convert to fraction form
    497,311.80/745,967.70 = 123,334.80/x
  3. Step 3: Cross multiply
    497,311.80x = 745,967.70 × 123,334.80
  4. Step 4: Simplify right side
    497,311.80x = 92,003,777,085.96
  5. Step 5: Solve for x
    x = 92,003,777,085.96/497,311.80
  6. Step 6: Final answer
    x = 185,002.20

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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.