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Finding the Fourth Proportional to 292,378, 403,491.42 and 179,178.88

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Solution

The fourth proportional to 292,378, 403,491.42 and 179,178.88 is: 247,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,378 : 403,491.42 = 179,178.88 : x
  2. Step 2: Convert to fraction form
    292,378/403,491.42 = 179,178.88/x
  3. Step 3: Cross multiply
    292,378x = 403,491.42 × 179,178.88
  4. Step 4: Simplify right side
    292,378x = 72,297,140,725.21
  5. Step 5: Solve for x
    x = 72,297,140,725.21/292,378
  6. Step 6: Final answer
    x = 247,272.85

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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.