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Finding the Fourth Proportional to 363,804.26, 502,065.01 and 202,659.27

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Solution

The fourth proportional to 363,804.26, 502,065.01 and 202,659.27 is: 279,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,804.26 : 502,065.01 = 202,659.27 : x
  2. Step 2: Convert to fraction form
    363,804.26/502,065.01 = 202,659.27/x
  3. Step 3: Cross multiply
    363,804.26x = 502,065.01 × 202,659.27
  4. Step 4: Simplify right side
    363,804.26x = 101,748,124,895.52
  5. Step 5: Solve for x
    x = 101,748,124,895.52/363,804.26
  6. Step 6: Final answer
    x = 279,678.21

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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.