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Finding the Fourth Proportional to 315,931.68, 435,997.44 and 172,701.44

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Solution

The fourth proportional to 315,931.68, 435,997.44 and 172,701.44 is: 238,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,931.68 : 435,997.44 = 172,701.44 : x
  2. Step 2: Convert to fraction form
    315,931.68/435,997.44 = 172,701.44/x
  3. Step 3: Cross multiply
    315,931.68x = 435,997.44 × 172,701.44
  4. Step 4: Simplify right side
    315,931.68x = 75,297,385,724.31
  5. Step 5: Solve for x
    x = 75,297,385,724.31/315,931.68
  6. Step 6: Final answer
    x = 238,334.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.