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Finding the Fourth Proportional to 474,036.82, 711,335.85 and 174,727.63

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Solution

The fourth proportional to 474,036.82, 711,335.85 and 174,727.63 is: 262,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,036.82 : 711,335.85 = 174,727.63 : x
  2. Step 2: Convert to fraction form
    474,036.82/711,335.85 = 174,727.63/x
  3. Step 3: Cross multiply
    474,036.82x = 711,335.85 × 174,727.63
  4. Step 4: Simplify right side
    474,036.82x = 124,290,027,204.54
  5. Step 5: Solve for x
    x = 124,290,027,204.54/474,036.82
  6. Step 6: Final answer
    x = 262,194.88

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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.