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Finding the Fourth Proportional to 578,206.40, 867,568.80 and 262,500.80

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Solution

The fourth proportional to 578,206.40, 867,568.80 and 262,500.80 is: 393,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,206.40 : 867,568.80 = 262,500.80 : x
  2. Step 2: Convert to fraction form
    578,206.40/867,568.80 = 262,500.80/x
  3. Step 3: Cross multiply
    578,206.40x = 867,568.80 × 262,500.80
  4. Step 4: Simplify right side
    578,206.40x = 227,737,504,055.04
  5. Step 5: Solve for x
    x = 227,737,504,055.04/578,206.40
  6. Step 6: Final answer
    x = 393,868.87

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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.