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Finding the Fourth Proportional to 414,041.54, 571,338.70 and 232,737.62

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Solution

The fourth proportional to 414,041.54, 571,338.70 and 232,737.62 is: 321,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,041.54 : 571,338.70 = 232,737.62 : x
  2. Step 2: Convert to fraction form
    414,041.54/571,338.70 = 232,737.62/x
  3. Step 3: Cross multiply
    414,041.54x = 571,338.70 × 232,737.62
  4. Step 4: Simplify right side
    414,041.54x = 132,972,005,813.36
  5. Step 5: Solve for x
    x = 132,972,005,813.36/414,041.54
  6. Step 6: Final answer
    x = 321,156.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.