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Finding the Fourth Proportional to 474,023.77, 711,106.47 and 174,481.58

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Solution

The fourth proportional to 474,023.77, 711,106.47 and 174,481.58 is: 261,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,023.77 : 711,106.47 = 174,481.58 : x
  2. Step 2: Convert to fraction form
    474,023.77/711,106.47 = 174,481.58/x
  3. Step 3: Cross multiply
    474,023.77x = 711,106.47 × 174,481.58
  4. Step 4: Simplify right side
    474,023.77x = 124,074,982,211.59
  5. Step 5: Solve for x
    x = 124,074,982,211.59/474,023.77
  6. Step 6: Final answer
    x = 261,748.44

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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.