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Finding the Fourth Proportional to 383,852.79, 529,717.77 and 214,097.85

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Solution

The fourth proportional to 383,852.79, 529,717.77 and 214,097.85 is: 295,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,852.79 : 529,717.77 = 214,097.85 : x
  2. Step 2: Convert to fraction form
    383,852.79/529,717.77 = 214,097.85/x
  3. Step 3: Cross multiply
    383,852.79x = 529,717.77 × 214,097.85
  4. Step 4: Simplify right side
    383,852.79x = 113,411,435,663.80
  5. Step 5: Solve for x
    x = 113,411,435,663.80/383,852.79
  6. Step 6: Final answer
    x = 295,455.55

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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.