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Finding the Fourth Proportional to 274,702.40, 412,312.80 and 169,726.40

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Solution

The fourth proportional to 274,702.40, 412,312.80 and 169,726.40 is: 254,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,702.40 : 412,312.80 = 169,726.40 : x
  2. Step 2: Convert to fraction form
    274,702.40/412,312.80 = 169,726.40/x
  3. Step 3: Cross multiply
    274,702.40x = 412,312.80 × 169,726.40
  4. Step 4: Simplify right side
    274,702.40x = 69,980,367,217.92
  5. Step 5: Solve for x
    x = 69,980,367,217.92/274,702.40
  6. Step 6: Final answer
    x = 254,749.75

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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.