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Finding the Fourth Proportional to 293,282, 404,730.24 and 159,146

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Solution

The fourth proportional to 293,282, 404,730.24 and 159,146 is: 219,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,282 : 404,730.24 = 159,146 : x
  2. Step 2: Convert to fraction form
    293,282/404,730.24 = 159,146/x
  3. Step 3: Cross multiply
    293,282x = 404,730.24 × 159,146
  4. Step 4: Simplify right side
    293,282x = 64,411,198,775.04
  5. Step 5: Solve for x
    x = 64,411,198,775.04/293,282
  6. Step 6: Final answer
    x = 219,622.07

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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.