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Finding the Fourth Proportional to 383,358.38, 529,038.14 and 211,282.49

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Solution

The fourth proportional to 383,358.38, 529,038.14 and 211,282.49 is: 291,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,358.38 : 529,038.14 = 211,282.49 : x
  2. Step 2: Convert to fraction form
    383,358.38/529,038.14 = 211,282.49/x
  3. Step 3: Cross multiply
    383,358.38x = 529,038.14 × 211,282.49
  4. Step 4: Simplify right side
    383,358.38x = 111,776,493,407.18
  5. Step 5: Solve for x
    x = 111,776,493,407.18/383,358.38
  6. Step 6: Final answer
    x = 291,571.80

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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.