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Finding the Fourth Proportional to 382,233.76, 527,436.78 and 210,123.40

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Solution

The fourth proportional to 382,233.76, 527,436.78 and 210,123.40 is: 289,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,233.76 : 527,436.78 = 210,123.40 : x
  2. Step 2: Convert to fraction form
    382,233.76/527,436.78 = 210,123.40/x
  3. Step 3: Cross multiply
    382,233.76x = 527,436.78 × 210,123.40
  4. Step 4: Simplify right side
    382,233.76x = 110,826,809,498.65
  5. Step 5: Solve for x
    x = 110,826,809,498.65/382,233.76
  6. Step 6: Final answer
    x = 289,945.11

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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.