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Finding the Fourth Proportional to 513,285.17, 708,377.33 and 298,411.61

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Solution

The fourth proportional to 513,285.17, 708,377.33 and 298,411.61 is: 411,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,285.17 : 708,377.33 = 298,411.61 : x
  2. Step 2: Convert to fraction form
    513,285.17/708,377.33 = 298,411.61/x
  3. Step 3: Cross multiply
    513,285.17x = 708,377.33 × 298,411.61
  4. Step 4: Simplify right side
    513,285.17x = 211,388,016,736.94
  5. Step 5: Solve for x
    x = 211,388,016,736.94/513,285.17
  6. Step 6: Final answer
    x = 411,833.48

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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.