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Finding the Fourth Proportional to 400,874.68, 601,311.60 and 164,217.76

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Solution

The fourth proportional to 400,874.68, 601,311.60 and 164,217.76 is: 246,326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,874.68 : 601,311.60 = 164,217.76 : x
  2. Step 2: Convert to fraction form
    400,874.68/601,311.60 = 164,217.76/x
  3. Step 3: Cross multiply
    400,874.68x = 601,311.60 × 164,217.76
  4. Step 4: Simplify right side
    400,874.68x = 98,746,044,014.02
  5. Step 5: Solve for x
    x = 98,746,044,014.02/400,874.68
  6. Step 6: Final answer
    x = 246,326.47

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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.