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Finding the Fourth Proportional to 381,358.50, 524,408.49 and 330,970.02

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Solution

The fourth proportional to 381,358.50, 524,408.49 and 330,970.02 is: 455,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,358.50 : 524,408.49 = 330,970.02 : x
  2. Step 2: Convert to fraction form
    381,358.50/524,408.49 = 330,970.02/x
  3. Step 3: Cross multiply
    381,358.50x = 524,408.49 × 330,970.02
  4. Step 4: Simplify right side
    381,358.50x = 173,563,488,423.47
  5. Step 5: Solve for x
    x = 173,563,488,423.47/381,358.50
  6. Step 6: Final answer
    x = 455,118.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.