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Finding the Fourth Proportional to 383,983.63, 576,232.54 and 159,344.28

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Solution

The fourth proportional to 383,983.63, 576,232.54 and 159,344.28 is: 239,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,983.63 : 576,232.54 = 159,344.28 : x
  2. Step 2: Convert to fraction form
    383,983.63/576,232.54 = 159,344.28/x
  3. Step 3: Cross multiply
    383,983.63x = 576,232.54 × 159,344.28
  4. Step 4: Simplify right side
    383,983.63x = 91,819,358,800.51
  5. Step 5: Solve for x
    x = 91,819,358,800.51/383,983.63
  6. Step 6: Final answer
    x = 239,123.11

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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.