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Finding the Fourth Proportional to 503,235.47, 694,200.24 and 299,141.22

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Solution

The fourth proportional to 503,235.47, 694,200.24 and 299,141.22 is: 412,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,235.47 : 694,200.24 = 299,141.22 : x
  2. Step 2: Convert to fraction form
    503,235.47/694,200.24 = 299,141.22/x
  3. Step 3: Cross multiply
    503,235.47x = 694,200.24 × 299,141.22
  4. Step 4: Simplify right side
    503,235.47x = 207,663,906,717.89
  5. Step 5: Solve for x
    x = 207,663,906,717.89/503,235.47
  6. Step 6: Final answer
    x = 412,657.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.