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Finding the Fourth Proportional to 497,754.40, 746,634.30 and 123,777.40

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Solution

The fourth proportional to 497,754.40, 746,634.30 and 123,777.40 is: 185,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,754.40 : 746,634.30 = 123,777.40 : x
  2. Step 2: Convert to fraction form
    497,754.40/746,634.30 = 123,777.40/x
  3. Step 3: Cross multiply
    497,754.40x = 746,634.30 × 123,777.40
  4. Step 4: Simplify right side
    497,754.40x = 92,416,452,404.82
  5. Step 5: Solve for x
    x = 92,416,452,404.82/497,754.40
  6. Step 6: Final answer
    x = 185,666.77

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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.