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Finding the Fourth Proportional to 299,565.95, 413,211.17 and 227,788.61

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Solution

The fourth proportional to 299,565.95, 413,211.17 and 227,788.61 is: 314,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,565.95 : 413,211.17 = 227,788.61 : x
  2. Step 2: Convert to fraction form
    299,565.95/413,211.17 = 227,788.61/x
  3. Step 3: Cross multiply
    299,565.95x = 413,211.17 × 227,788.61
  4. Step 4: Simplify right side
    299,565.95x = 94,124,796,554.19
  5. Step 5: Solve for x
    x = 94,124,796,554.19/299,565.95
  6. Step 6: Final answer
    x = 314,203.93

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Why These Related Problems?

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