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Finding the Fourth Proportional to 363,803.76, 502,064.32 and 202,658.77

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Solution

The fourth proportional to 363,803.76, 502,064.32 and 202,658.77 is: 279,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,803.76 : 502,064.32 = 202,658.77 : x
  2. Step 2: Convert to fraction form
    363,803.76/502,064.32 = 202,658.77/x
  3. Step 3: Cross multiply
    363,803.76x = 502,064.32 × 202,658.77
  4. Step 4: Simplify right side
    363,803.76x = 101,747,734,028.47
  5. Step 5: Solve for x
    x = 101,747,734,028.47/363,803.76
  6. Step 6: Final answer
    x = 279,677.52

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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.