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Finding the Fourth Proportional to 467,726.08, 701,692.80 and 218,272

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Solution

The fourth proportional to 467,726.08, 701,692.80 and 218,272 is: 327,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,726.08 : 701,692.80 = 218,272 : x
  2. Step 2: Convert to fraction form
    467,726.08/701,692.80 = 218,272/x
  3. Step 3: Cross multiply
    467,726.08x = 701,692.80 × 218,272
  4. Step 4: Simplify right side
    467,726.08x = 153,159,890,841.60
  5. Step 5: Solve for x
    x = 153,159,890,841.60/467,726.08
  6. Step 6: Final answer
    x = 327,456.38

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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.