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Finding the Fourth Proportional to 363,795.44, 502,042.92 and 208,772.00

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Solution

The fourth proportional to 363,795.44, 502,042.92 and 208,772.00 is: 288,108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,795.44 : 502,042.92 = 208,772.00 : x
  2. Step 2: Convert to fraction form
    363,795.44/502,042.92 = 208,772.00/x
  3. Step 3: Cross multiply
    363,795.44x = 502,042.92 × 208,772.00
  4. Step 4: Simplify right side
    363,795.44x = 104,812,501,984.03
  5. Step 5: Solve for x
    x = 104,812,501,984.03/363,795.44
  6. Step 6: Final answer
    x = 288,108.35

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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.