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Finding the Fourth Proportional to 533,565.16, 800,389.41 and 154,491.54

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Solution

The fourth proportional to 533,565.16, 800,389.41 and 154,491.54 is: 231,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,565.16 : 800,389.41 = 154,491.54 : x
  2. Step 2: Convert to fraction form
    533,565.16/800,389.41 = 154,491.54/x
  3. Step 3: Cross multiply
    533,565.16x = 800,389.41 × 154,491.54
  4. Step 4: Simplify right side
    533,565.16x = 123,653,388,548.64
  5. Step 5: Solve for x
    x = 123,653,388,548.64/533,565.16
  6. Step 6: Final answer
    x = 231,749.37

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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.