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Finding the Fourth Proportional to 293,452, 404,963.76 and 159,316

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Solution

The fourth proportional to 293,452, 404,963.76 and 159,316 is: 219,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,452 : 404,963.76 = 159,316 : x
  2. Step 2: Convert to fraction form
    293,452/404,963.76 = 159,316/x
  3. Step 3: Cross multiply
    293,452x = 404,963.76 × 159,316
  4. Step 4: Simplify right side
    293,452x = 64,517,206,388.16
  5. Step 5: Solve for x
    x = 64,517,206,388.16/293,452
  6. Step 6: Final answer
    x = 219,856.08

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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.