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Finding the Fourth Proportional to 497,355.85, 746,116.40 and 197,839.32

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Solution

The fourth proportional to 497,355.85, 746,116.40 and 197,839.32 is: 296,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,355.85 : 746,116.40 = 197,839.32 : x
  2. Step 2: Convert to fraction form
    497,355.85/746,116.40 = 197,839.32/x
  3. Step 3: Cross multiply
    497,355.85x = 746,116.40 × 197,839.32
  4. Step 4: Simplify right side
    497,355.85x = 147,611,161,216.85
  5. Step 5: Solve for x
    x = 147,611,161,216.85/497,355.85
  6. Step 6: Final answer
    x = 296,791.85

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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.