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Finding the Fourth Proportional to 472,605.60, 708,952.56 and 188,227.56

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Solution

The fourth proportional to 472,605.60, 708,952.56 and 188,227.56 is: 282,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,605.60 : 708,952.56 = 188,227.56 : x
  2. Step 2: Convert to fraction form
    472,605.60/708,952.56 = 188,227.56/x
  3. Step 3: Cross multiply
    472,605.60x = 708,952.56 × 188,227.56
  4. Step 4: Simplify right side
    472,605.60x = 133,444,410,524.55
  5. Step 5: Solve for x
    x = 133,444,410,524.55/472,605.60
  6. Step 6: Final answer
    x = 282,358.93

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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.