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Finding the Fourth Proportional to 467,817.60, 701,726.40 and 289,747.20

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Solution

The fourth proportional to 467,817.60, 701,726.40 and 289,747.20 is: 434,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,817.60 : 701,726.40 = 289,747.20 : x
  2. Step 2: Convert to fraction form
    467,817.60/701,726.40 = 289,747.20/x
  3. Step 3: Cross multiply
    467,817.60x = 701,726.40 × 289,747.20
  4. Step 4: Simplify right side
    467,817.60x = 203,323,259,566.08
  5. Step 5: Solve for x
    x = 203,323,259,566.08/467,817.60
  6. Step 6: Final answer
    x = 434,620.80

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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.