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Finding the Fourth Proportional to 499,716.48, 749,684.16 and 144,744.96

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Solution

The fourth proportional to 499,716.48, 749,684.16 and 144,744.96 is: 217,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,716.48 : 749,684.16 = 144,744.96 : x
  2. Step 2: Convert to fraction form
    499,716.48/749,684.16 = 144,744.96/x
  3. Step 3: Cross multiply
    499,716.48x = 749,684.16 × 144,744.96
  4. Step 4: Simplify right side
    499,716.48x = 108,513,003,751.83
  5. Step 5: Solve for x
    x = 108,513,003,751.83/499,716.48
  6. Step 6: Final answer
    x = 217,149.14

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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.