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Finding the Fourth Proportional to 502,791.05, 693,810.61 and 296,026.80

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Solution

The fourth proportional to 502,791.05, 693,810.61 and 296,026.80 is: 408,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,791.05 : 693,810.61 = 296,026.80 : x
  2. Step 2: Convert to fraction form
    502,791.05/693,810.61 = 296,026.80/x
  3. Step 3: Cross multiply
    502,791.05x = 693,810.61 × 296,026.80
  4. Step 4: Simplify right side
    502,791.05x = 205,386,533,944.28
  5. Step 5: Solve for x
    x = 205,386,533,944.28/502,791.05
  6. Step 6: Final answer
    x = 408,492.82

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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.