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Finding the Fourth Proportional to 650,193.66, 897,302.10 and 363,696.66

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Solution

The fourth proportional to 650,193.66, 897,302.10 and 363,696.66 is: 501,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,193.66 : 897,302.10 = 363,696.66 : x
  2. Step 2: Convert to fraction form
    650,193.66/897,302.10 = 363,696.66/x
  3. Step 3: Cross multiply
    650,193.66x = 897,302.10 × 363,696.66
  4. Step 4: Simplify right side
    650,193.66x = 326,345,776,780.99
  5. Step 5: Solve for x
    x = 326,345,776,780.99/650,193.66
  6. Step 6: Final answer
    x = 501,920.88

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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.