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Finding the Fourth Proportional to 474,332.33, 711,593.76 and 174,814.49

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Solution

The fourth proportional to 474,332.33, 711,593.76 and 174,814.49 is: 262,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,332.33 : 711,593.76 = 174,814.49 : x
  2. Step 2: Convert to fraction form
    474,332.33/711,593.76 = 174,814.49/x
  3. Step 3: Cross multiply
    474,332.33x = 711,593.76 × 174,814.49
  4. Step 4: Simplify right side
    474,332.33x = 124,396,900,241.58
  5. Step 5: Solve for x
    x = 124,396,900,241.58/474,332.33
  6. Step 6: Final answer
    x = 262,256.84

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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.