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Finding the Fourth Proportional to 288,833.40, 433,323.09 and 233,179.20

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Solution

The fourth proportional to 288,833.40, 433,323.09 and 233,179.20 is: 349,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,833.40 : 433,323.09 = 233,179.20 : x
  2. Step 2: Convert to fraction form
    288,833.40/433,323.09 = 233,179.20/x
  3. Step 3: Cross multiply
    288,833.40x = 433,323.09 × 233,179.20
  4. Step 4: Simplify right side
    288,833.40x = 101,041,931,467.73
  5. Step 5: Solve for x
    x = 101,041,931,467.73/288,833.40
  6. Step 6: Final answer
    x = 349,827.73

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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.