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Finding the Fourth Proportional to 288,288.50, 432,434.27 and 189,076.95

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Solution

The fourth proportional to 288,288.50, 432,434.27 and 189,076.95 is: 283,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,288.50 : 432,434.27 = 189,076.95 : x
  2. Step 2: Convert to fraction form
    288,288.50/432,434.27 = 189,076.95/x
  3. Step 3: Cross multiply
    288,288.50x = 432,434.27 × 189,076.95
  4. Step 4: Simplify right side
    288,288.50x = 81,763,353,319.77
  5. Step 5: Solve for x
    x = 81,763,353,319.77/288,288.50
  6. Step 6: Final answer
    x = 283,616.43

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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.