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Finding the Fourth Proportional to 472,162.74, 708,322.56 and 187,855.98

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Solution

The fourth proportional to 472,162.74, 708,322.56 and 187,855.98 is: 281,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,162.74 : 708,322.56 = 187,855.98 : x
  2. Step 2: Convert to fraction form
    472,162.74/708,322.56 = 187,855.98/x
  3. Step 3: Cross multiply
    472,162.74x = 708,322.56 × 187,855.98
  4. Step 4: Simplify right side
    472,162.74x = 133,062,628,664.91
  5. Step 5: Solve for x
    x = 133,062,628,664.91/472,162.74
  6. Step 6: Final answer
    x = 281,815.18

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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.