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Finding the Fourth Proportional to 383,113.70, 528,708.94 and 211,044.14

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Solution

The fourth proportional to 383,113.70, 528,708.94 and 211,044.14 is: 291,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,113.70 : 528,708.94 = 211,044.14 : x
  2. Step 2: Convert to fraction form
    383,113.70/528,708.94 = 211,044.14/x
  3. Step 3: Cross multiply
    383,113.70x = 528,708.94 × 211,044.14
  4. Step 4: Simplify right side
    383,113.70x = 111,580,923,552.61
  5. Step 5: Solve for x
    x = 111,580,923,552.61/383,113.70
  6. Step 6: Final answer
    x = 291,247.54

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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.