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Finding the Fourth Proportional to 474,028.28, 711,113.22 and 174,486.09

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Solution

The fourth proportional to 474,028.28, 711,113.22 and 174,486.09 is: 261,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,028.28 : 711,113.22 = 174,486.09 : x
  2. Step 2: Convert to fraction form
    474,028.28/711,113.22 = 174,486.09/x
  3. Step 3: Cross multiply
    474,028.28x = 711,113.22 × 174,486.09
  4. Step 4: Simplify right side
    474,028.28x = 124,079,365,305.11
  5. Step 5: Solve for x
    x = 124,079,365,305.11/474,028.28
  6. Step 6: Final answer
    x = 261,755.20

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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.