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Finding the Fourth Proportional to 374,901.75, 517,364.42 and 205,135.88

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Solution

The fourth proportional to 374,901.75, 517,364.42 and 205,135.88 is: 283,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,901.75 : 517,364.42 = 205,135.88 : x
  2. Step 2: Convert to fraction form
    374,901.75/517,364.42 = 205,135.88/x
  3. Step 3: Cross multiply
    374,901.75x = 517,364.42 × 205,135.88
  4. Step 4: Simplify right side
    374,901.75x = 106,130,001,964.89
  5. Step 5: Solve for x
    x = 106,130,001,964.89/374,901.75
  6. Step 6: Final answer
    x = 283,087.51

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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.