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Finding the Fourth Proportional to 497,204.84, 686,124.54 and 303,936.24

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Solution

The fourth proportional to 497,204.84, 686,124.54 and 303,936.24 is: 419,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,204.84 : 686,124.54 = 303,936.24 : x
  2. Step 2: Convert to fraction form
    497,204.84/686,124.54 = 303,936.24/x
  3. Step 3: Cross multiply
    497,204.84x = 686,124.54 × 303,936.24
  4. Step 4: Simplify right side
    497,204.84x = 208,538,112,859.33
  5. Step 5: Solve for x
    x = 208,538,112,859.33/497,204.84
  6. Step 6: Final answer
    x = 419,420.92

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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.