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Finding the Fourth Proportional to 513,115.17, 708,100.02 and 286,760.67

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Solution

The fourth proportional to 513,115.17, 708,100.02 and 286,760.67 is: 395,730.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,115.17 : 708,100.02 = 286,760.67 : x
  2. Step 2: Convert to fraction form
    513,115.17/708,100.02 = 286,760.67/x
  3. Step 3: Cross multiply
    513,115.17x = 708,100.02 × 286,760.67
  4. Step 4: Simplify right side
    513,115.17x = 203,055,236,162.21
  5. Step 5: Solve for x
    x = 203,055,236,162.21/513,115.17
  6. Step 6: Final answer
    x = 395,730.33

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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.