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Finding the Fourth Proportional to 364,053.62, 502,396.33 and 202,918.90

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Solution

The fourth proportional to 364,053.62, 502,396.33 and 202,918.90 is: 280,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,053.62 : 502,396.33 = 202,918.90 : x
  2. Step 2: Convert to fraction form
    364,053.62/502,396.33 = 202,918.90/x
  3. Step 3: Cross multiply
    364,053.62x = 502,396.33 × 202,918.90
  4. Step 4: Simplify right side
    364,053.62x = 101,945,710,647.64
  5. Step 5: Solve for x
    x = 101,945,710,647.64/364,053.62
  6. Step 6: Final answer
    x = 280,029.38

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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.