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Finding the Fourth Proportional to 381,230.28, 571,928.58 and 144,575.28

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Solution

The fourth proportional to 381,230.28, 571,928.58 and 144,575.28 is: 216,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,230.28 : 571,928.58 = 144,575.28 : x
  2. Step 2: Convert to fraction form
    381,230.28/571,928.58 = 144,575.28/x
  3. Step 3: Cross multiply
    381,230.28x = 571,928.58 × 144,575.28
  4. Step 4: Simplify right side
    381,230.28x = 82,686,734,593.50
  5. Step 5: Solve for x
    x = 82,686,734,593.50/381,230.28
  6. Step 6: Final answer
    x = 216,894.46

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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.