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Finding the Fourth Proportional to 375,093.64, 517,630.62 and 205,343.56

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Solution

The fourth proportional to 375,093.64, 517,630.62 and 205,343.56 is: 283,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,093.64 : 517,630.62 = 205,343.56 : x
  2. Step 2: Convert to fraction form
    375,093.64/517,630.62 = 205,343.56/x
  3. Step 3: Cross multiply
    375,093.64x = 517,630.62 × 205,343.56
  4. Step 4: Simplify right side
    375,093.64x = 106,292,114,275.81
  5. Step 5: Solve for x
    x = 106,292,114,275.81/375,093.64
  6. Step 6: Final answer
    x = 283,374.88

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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.