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Finding the Fourth Proportional to 513,419.69, 708,302.22 and 343,708.49

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Solution

The fourth proportional to 513,419.69, 708,302.22 and 343,708.49 is: 474,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,419.69 : 708,302.22 = 343,708.49 : x
  2. Step 2: Convert to fraction form
    513,419.69/708,302.22 = 343,708.49/x
  3. Step 3: Cross multiply
    513,419.69x = 708,302.22 × 343,708.49
  4. Step 4: Simplify right side
    513,419.69x = 243,449,486,499.85
  5. Step 5: Solve for x
    x = 243,449,486,499.85/513,419.69
  6. Step 6: Final answer
    x = 474,172.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.