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Finding the Fourth Proportional to 288,815.70, 433,224.76 and 189,603.66

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Solution

The fourth proportional to 288,815.70, 433,224.76 and 189,603.66 is: 284,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,815.70 : 433,224.76 = 189,603.66 : x
  2. Step 2: Convert to fraction form
    288,815.70/433,224.76 = 189,603.66/x
  3. Step 3: Cross multiply
    288,815.70x = 433,224.76 × 189,603.66
  4. Step 4: Simplify right side
    288,815.70x = 82,141,000,098.62
  5. Step 5: Solve for x
    x = 82,141,000,098.62/288,815.70
  6. Step 6: Final answer
    x = 284,406.28

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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.