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Finding the Fourth Proportional to 293,248, 404,684.40 and 159,112

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Solution

The fourth proportional to 293,248, 404,684.40 and 159,112 is: 219,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,248 : 404,684.40 = 159,112 : x
  2. Step 2: Convert to fraction form
    293,248/404,684.40 = 159,112/x
  3. Step 3: Cross multiply
    293,248x = 404,684.40 × 159,112
  4. Step 4: Simplify right side
    293,248x = 64,390,144,252.80
  5. Step 5: Solve for x
    x = 64,390,144,252.80/293,248
  6. Step 6: Final answer
    x = 219,575.73

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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.