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Finding the Fourth Proportional to 497,622.76, 746,434.67 and 123,645.76

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Solution

The fourth proportional to 497,622.76, 746,434.67 and 123,645.76 is: 185,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,622.76 : 746,434.67 = 123,645.76 : x
  2. Step 2: Convert to fraction form
    497,622.76/746,434.67 = 123,645.76/x
  3. Step 3: Cross multiply
    497,622.76x = 746,434.67 × 123,645.76
  4. Step 4: Simplify right side
    497,622.76x = 92,293,479,578.18
  5. Step 5: Solve for x
    x = 92,293,479,578.18/497,622.76
  6. Step 6: Final answer
    x = 185,468.77

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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.