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Finding the Fourth Proportional to 382,318.21, 572,689.86 and 224,165.31

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Solution

The fourth proportional to 382,318.21, 572,689.86 and 224,165.31 is: 335,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,318.21 : 572,689.86 = 224,165.31 : x
  2. Step 2: Convert to fraction form
    382,318.21/572,689.86 = 224,165.31/x
  3. Step 3: Cross multiply
    382,318.21x = 572,689.86 × 224,165.31
  4. Step 4: Simplify right side
    382,318.21x = 128,377,200,000.76
  5. Step 5: Solve for x
    x = 128,377,200,000.76/382,318.21
  6. Step 6: Final answer
    x = 335,786.26

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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.