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Finding the Fourth Proportional to 294,702.62, 406,512.36 and 179,928.86

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Solution

The fourth proportional to 294,702.62, 406,512.36 and 179,928.86 is: 248,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,702.62 : 406,512.36 = 179,928.86 : x
  2. Step 2: Convert to fraction form
    294,702.62/406,512.36 = 179,928.86/x
  3. Step 3: Cross multiply
    294,702.62x = 406,512.36 × 179,928.86
  4. Step 4: Simplify right side
    294,702.62x = 73,143,305,510.71
  5. Step 5: Solve for x
    x = 73,143,305,510.71/294,702.62
  6. Step 6: Final answer
    x = 248,193.60

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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.