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Finding the Fourth Proportional to 356,417.37, 491,869.53 and 203,480.46

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Solution

The fourth proportional to 356,417.37, 491,869.53 and 203,480.46 is: 280,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,417.37 : 491,869.53 = 203,480.46 : x
  2. Step 2: Convert to fraction form
    356,417.37/491,869.53 = 203,480.46/x
  3. Step 3: Cross multiply
    356,417.37x = 491,869.53 × 203,480.46
  4. Step 4: Simplify right side
    356,417.37x = 100,085,838,224.38
  5. Step 5: Solve for x
    x = 100,085,838,224.38/356,417.37
  6. Step 6: Final answer
    x = 280,810.78

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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.