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Finding the Fourth Proportional to 363,797.44, 502,045.68 and 208,774

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Solution

The fourth proportional to 363,797.44, 502,045.68 and 208,774 is: 288,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,797.44 : 502,045.68 = 208,774 : x
  2. Step 2: Convert to fraction form
    363,797.44/502,045.68 = 208,774/x
  3. Step 3: Cross multiply
    363,797.44x = 502,045.68 × 208,774
  4. Step 4: Simplify right side
    363,797.44x = 104,814,084,796.32
  5. Step 5: Solve for x
    x = 104,814,084,796.32/363,797.44
  6. Step 6: Final answer
    x = 288,111.11

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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.