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Finding the Fourth Proportional to 292,896.34, 439,344.57 and 82,506.94

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Solution

The fourth proportional to 292,896.34, 439,344.57 and 82,506.94 is: 123,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,896.34 : 439,344.57 = 82,506.94 : x
  2. Step 2: Convert to fraction form
    292,896.34/439,344.57 = 82,506.94/x
  3. Step 3: Cross multiply
    292,896.34x = 439,344.57 × 82,506.94
  4. Step 4: Simplify right side
    292,896.34x = 36,248,976,076.32
  5. Step 5: Solve for x
    x = 36,248,976,076.32/292,896.34
  6. Step 6: Final answer
    x = 123,760.43

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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.