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Finding the Fourth Proportional to 474,146.41, 711,220.16 and 193,663.66

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Solution

The fourth proportional to 474,146.41, 711,220.16 and 193,663.66 is: 290,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,146.41 : 711,220.16 = 193,663.66 : x
  2. Step 2: Convert to fraction form
    474,146.41/711,220.16 = 193,663.66/x
  3. Step 3: Cross multiply
    474,146.41x = 711,220.16 × 193,663.66
  4. Step 4: Simplify right side
    474,146.41x = 137,737,499,251.39
  5. Step 5: Solve for x
    x = 137,737,499,251.39/474,146.41
  6. Step 6: Final answer
    x = 290,495.71

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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.