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Finding the Fourth Proportional to 513,034.24, 707,982.96 and 286,679.92

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Solution

The fourth proportional to 513,034.24, 707,982.96 and 286,679.92 is: 395,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,034.24 : 707,982.96 = 286,679.92 : x
  2. Step 2: Convert to fraction form
    513,034.24/707,982.96 = 286,679.92/x
  3. Step 3: Cross multiply
    513,034.24x = 707,982.96 × 286,679.92
  4. Step 4: Simplify right side
    513,034.24x = 202,964,498,334.16
  5. Step 5: Solve for x
    x = 202,964,498,334.16/513,034.24
  6. Step 6: Final answer
    x = 395,615.89

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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.