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Finding the Fourth Proportional to 375,142.74, 561,813.15 and 214,732.50

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Solution

The fourth proportional to 375,142.74, 561,813.15 and 214,732.50 is: 321,583.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,142.74 : 561,813.15 = 214,732.50 : x
  2. Step 2: Convert to fraction form
    375,142.74/561,813.15 = 214,732.50/x
  3. Step 3: Cross multiply
    375,142.74x = 561,813.15 × 214,732.50
  4. Step 4: Simplify right side
    375,142.74x = 120,639,542,232.38
  5. Step 5: Solve for x
    x = 120,639,542,232.38/375,142.74
  6. Step 6: Final answer
    x = 321,583.04

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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.