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Finding the Fourth Proportional to 363,803.54, 502,064.02 and 202,658.55

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Solution

The fourth proportional to 363,803.54, 502,064.02 and 202,658.55 is: 279,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,803.54 : 502,064.02 = 202,658.55 : x
  2. Step 2: Convert to fraction form
    363,803.54/502,064.02 = 202,658.55/x
  3. Step 3: Cross multiply
    363,803.54x = 502,064.02 × 202,658.55
  4. Step 4: Simplify right side
    363,803.54x = 101,747,563,531.00
  5. Step 5: Solve for x
    x = 101,747,563,531.00/363,803.54
  6. Step 6: Final answer
    x = 279,677.22

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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.