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Finding the Fourth Proportional to 377,792.75, 521,354.00 and 208,026.47

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Solution

The fourth proportional to 377,792.75, 521,354.00 and 208,026.47 is: 287,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,792.75 : 521,354.00 = 208,026.47 : x
  2. Step 2: Convert to fraction form
    377,792.75/521,354.00 = 208,026.47/x
  3. Step 3: Cross multiply
    377,792.75x = 521,354.00 × 208,026.47
  4. Step 4: Simplify right side
    377,792.75x = 108,455,431,200.25
  5. Step 5: Solve for x
    x = 108,455,431,200.25/377,792.75
  6. Step 6: Final answer
    x = 287,076.53

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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.