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Finding the Fourth Proportional to 292,886.28, 438,827.82 and 159,859.92

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Solution

The fourth proportional to 292,886.28, 438,827.82 and 159,859.92 is: 239,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,886.28 : 438,827.82 = 159,859.92 : x
  2. Step 2: Convert to fraction form
    292,886.28/438,827.82 = 159,859.92/x
  3. Step 3: Cross multiply
    292,886.28x = 438,827.82 × 159,859.92
  4. Step 4: Simplify right side
    292,886.28x = 70,150,980,198.97
  5. Step 5: Solve for x
    x = 70,150,980,198.97/292,886.28
  6. Step 6: Final answer
    x = 239,516.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.