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Finding the Fourth Proportional to 499,734.51, 749,601.77 and 144,748.65

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Solution

The fourth proportional to 499,734.51, 749,601.77 and 144,748.65 is: 217,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,734.51 : 749,601.77 = 144,748.65 : x
  2. Step 2: Convert to fraction form
    499,734.51/749,601.77 = 144,748.65/x
  3. Step 3: Cross multiply
    499,734.51x = 749,601.77 × 144,748.65
  4. Step 4: Simplify right side
    499,734.51x = 108,503,840,414.72
  5. Step 5: Solve for x
    x = 108,503,840,414.72/499,734.51
  6. Step 6: Final answer
    x = 217,122.97

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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.