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Finding the Fourth Proportional to 497,514.30, 746,271.45 and 123,537.30

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Solution

The fourth proportional to 497,514.30, 746,271.45 and 123,537.30 is: 185,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,514.30 : 746,271.45 = 123,537.30 : x
  2. Step 2: Convert to fraction form
    497,514.30/746,271.45 = 123,537.30/x
  3. Step 3: Cross multiply
    497,514.30x = 746,271.45 × 123,537.30
  4. Step 4: Simplify right side
    497,514.30x = 92,192,360,000.09
  5. Step 5: Solve for x
    x = 92,192,360,000.09/497,514.30
  6. Step 6: Final answer
    x = 185,305.95

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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.