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Finding the Fourth Proportional to 379,468.80, 569,203.20 and 142,864.56

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Solution

The fourth proportional to 379,468.80, 569,203.20 and 142,864.56 is: 214,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,468.80 : 569,203.20 = 142,864.56 : x
  2. Step 2: Convert to fraction form
    379,468.80/569,203.20 = 142,864.56/x
  3. Step 3: Cross multiply
    379,468.80x = 569,203.20 × 142,864.56
  4. Step 4: Simplify right side
    379,468.80x = 81,318,964,718.59
  5. Step 5: Solve for x
    x = 81,318,964,718.59/379,468.80
  6. Step 6: Final answer
    x = 214,296.84

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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.