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Finding the Fourth Proportional to 296,083.60, 444,271.20 and 169,820.80

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Solution

The fourth proportional to 296,083.60, 444,271.20 and 169,820.80 is: 254,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,083.60 : 444,271.20 = 169,820.80 : x
  2. Step 2: Convert to fraction form
    296,083.60/444,271.20 = 169,820.80/x
  3. Step 3: Cross multiply
    296,083.60x = 444,271.20 × 169,820.80
  4. Step 4: Simplify right side
    296,083.60x = 75,446,490,600.96
  5. Step 5: Solve for x
    x = 75,446,490,600.96/296,083.60
  6. Step 6: Final answer
    x = 254,814.82

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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.