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Finding the Fourth Proportional to 363,807.48, 502,021.76 and 202,659.08

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Solution

The fourth proportional to 363,807.48, 502,021.76 and 202,659.08 is: 279,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,807.48 : 502,021.76 = 202,659.08 : x
  2. Step 2: Convert to fraction form
    363,807.48/502,021.76 = 202,659.08/x
  3. Step 3: Cross multiply
    363,807.48x = 502,021.76 × 202,659.08
  4. Step 4: Simplify right side
    363,807.48x = 101,739,264,498.18
  5. Step 5: Solve for x
    x = 101,739,264,498.18/363,807.48
  6. Step 6: Final answer
    x = 279,651.38

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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.