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Finding the Fourth Proportional to 503,384.49, 694,807.07 and 296,833.28

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Solution

The fourth proportional to 503,384.49, 694,807.07 and 296,833.28 is: 409,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,384.49 : 694,807.07 = 296,833.28 : x
  2. Step 2: Convert to fraction form
    503,384.49/694,807.07 = 296,833.28/x
  3. Step 3: Cross multiply
    503,384.49x = 694,807.07 × 296,833.28
  4. Step 4: Simplify right side
    503,384.49x = 206,241,856,597.09
  5. Step 5: Solve for x
    x = 206,241,856,597.09/503,384.49
  6. Step 6: Final answer
    x = 409,710.39

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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.