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Finding the Fourth Proportional to 380,382.54, 524,927.89 and 210,616.66

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Solution

The fourth proportional to 380,382.54, 524,927.89 and 210,616.66 is: 290,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,382.54 : 524,927.89 = 210,616.66 : x
  2. Step 2: Convert to fraction form
    380,382.54/524,927.89 = 210,616.66/x
  3. Step 3: Cross multiply
    380,382.54x = 524,927.89 × 210,616.66
  4. Step 4: Simplify right side
    380,382.54x = 110,558,558,932.65
  5. Step 5: Solve for x
    x = 110,558,558,932.65/380,382.54
  6. Step 6: Final answer
    x = 290,650.98

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