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Finding the Fourth Proportional to 291,506.46, 436,272.08 and 179,257.77

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Solution

The fourth proportional to 291,506.46, 436,272.08 and 179,257.77 is: 268,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,506.46 : 436,272.08 = 179,257.77 : x
  2. Step 2: Convert to fraction form
    291,506.46/436,272.08 = 179,257.77/x
  3. Step 3: Cross multiply
    291,506.46x = 436,272.08 × 179,257.77
  4. Step 4: Simplify right side
    291,506.46x = 78,205,160,174.06
  5. Step 5: Solve for x
    x = 78,205,160,174.06/291,506.46
  6. Step 6: Final answer
    x = 268,279.34

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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.