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Finding the Fourth Proportional to 288,666.52, 433,000.32 and 111,257.08

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Solution

The fourth proportional to 288,666.52, 433,000.32 and 111,257.08 is: 166,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,666.52 : 433,000.32 = 111,257.08 : x
  2. Step 2: Convert to fraction form
    288,666.52/433,000.32 = 111,257.08/x
  3. Step 3: Cross multiply
    288,666.52x = 433,000.32 × 111,257.08
  4. Step 4: Simplify right side
    288,666.52x = 48,174,351,242.27
  5. Step 5: Solve for x
    x = 48,174,351,242.27/288,666.52
  6. Step 6: Final answer
    x = 166,885.83

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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.