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Finding the Fourth Proportional to 382,196.43, 527,437.80 and 210,121.65

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Solution

The fourth proportional to 382,196.43, 527,437.80 and 210,121.65 is: 289,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,196.43 : 527,437.80 = 210,121.65 : x
  2. Step 2: Convert to fraction form
    382,196.43/527,437.80 = 210,121.65/x
  3. Step 3: Cross multiply
    382,196.43x = 527,437.80 × 210,121.65
  4. Step 4: Simplify right side
    382,196.43x = 110,826,100,808.37
  5. Step 5: Solve for x
    x = 110,826,100,808.37/382,196.43
  6. Step 6: Final answer
    x = 289,971.58

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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.