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Finding the Fourth Proportional to 521,044.94, 719,177.20 and 294,821.66

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Solution

The fourth proportional to 521,044.94, 719,177.20 and 294,821.66 is: 406,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,044.94 : 719,177.20 = 294,821.66 : x
  2. Step 2: Convert to fraction form
    521,044.94/719,177.20 = 294,821.66/x
  3. Step 3: Cross multiply
    521,044.94x = 719,177.20 × 294,821.66
  4. Step 4: Simplify right side
    521,044.94x = 212,029,015,938.15
  5. Step 5: Solve for x
    x = 212,029,015,938.15/521,044.94
  6. Step 6: Final answer
    x = 406,930.38

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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.