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Finding the Fourth Proportional to 375,221.16, 517,832.46 and 214,079.76

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Solution

The fourth proportional to 375,221.16, 517,832.46 and 214,079.76 is: 295,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,221.16 : 517,832.46 = 214,079.76 : x
  2. Step 2: Convert to fraction form
    375,221.16/517,832.46 = 214,079.76/x
  3. Step 3: Cross multiply
    375,221.16x = 517,832.46 × 214,079.76
  4. Step 4: Simplify right side
    375,221.16x = 110,857,448,757.01
  5. Step 5: Solve for x
    x = 110,857,448,757.01/375,221.16
  6. Step 6: Final answer
    x = 295,445.62

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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.