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Finding the Fourth Proportional to 497,537.40, 746,306.10 and 123,560.40

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Solution

The fourth proportional to 497,537.40, 746,306.10 and 123,560.40 is: 185,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,537.40 : 746,306.10 = 123,560.40 : x
  2. Step 2: Convert to fraction form
    497,537.40/746,306.10 = 123,560.40/x
  3. Step 3: Cross multiply
    497,537.40x = 746,306.10 × 123,560.40
  4. Step 4: Simplify right side
    497,537.40x = 92,213,880,238.44
  5. Step 5: Solve for x
    x = 92,213,880,238.44/497,537.40
  6. Step 6: Final answer
    x = 185,340.60

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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.