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Finding the Fourth Proportional to 382,533.86, 573,801.80 and 182,808.78

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Solution

The fourth proportional to 382,533.86, 573,801.80 and 182,808.78 is: 274,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,533.86 : 573,801.80 = 182,808.78 : x
  2. Step 2: Convert to fraction form
    382,533.86/573,801.80 = 182,808.78/x
  3. Step 3: Cross multiply
    382,533.86x = 573,801.80 × 182,808.78
  4. Step 4: Simplify right side
    382,533.86x = 104,896,006,105.76
  5. Step 5: Solve for x
    x = 104,896,006,105.76/382,533.86
  6. Step 6: Final answer
    x = 274,213.65

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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.