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Finding the Fourth Proportional to 413,115.72, 569,778.30 and 298,823.10

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Solution

The fourth proportional to 413,115.72, 569,778.30 and 298,823.10 is: 412,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,115.72 : 569,778.30 = 298,823.10 : x
  2. Step 2: Convert to fraction form
    413,115.72/569,778.30 = 298,823.10/x
  3. Step 3: Cross multiply
    413,115.72x = 569,778.30 × 298,823.10
  4. Step 4: Simplify right side
    413,115.72x = 170,262,917,918.73
  5. Step 5: Solve for x
    x = 170,262,917,918.73/413,115.72
  6. Step 6: Final answer
    x = 412,143.40

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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.