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Finding the Fourth Proportional to 485,343.35, 728,051.88 and 165,395.78

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Solution

The fourth proportional to 485,343.35, 728,051.88 and 165,395.78 is: 248,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,343.35 : 728,051.88 = 165,395.78 : x
  2. Step 2: Convert to fraction form
    485,343.35/728,051.88 = 165,395.78/x
  3. Step 3: Cross multiply
    485,343.35x = 728,051.88 × 165,395.78
  4. Step 4: Simplify right side
    485,343.35x = 120,416,704,105.83
  5. Step 5: Solve for x
    x = 120,416,704,105.83/485,343.35
  6. Step 6: Final answer
    x = 248,106.22

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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.