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Finding the Fourth Proportional to 364,345.62, 502,773.03 and 200,992.38

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Solution

The fourth proportional to 364,345.62, 502,773.03 and 200,992.38 is: 277,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,345.62 : 502,773.03 = 200,992.38 : x
  2. Step 2: Convert to fraction form
    364,345.62/502,773.03 = 200,992.38/x
  3. Step 3: Cross multiply
    364,345.62x = 502,773.03 × 200,992.38
  4. Step 4: Simplify right side
    364,345.62x = 101,053,547,899.51
  5. Step 5: Solve for x
    x = 101,053,547,899.51/364,345.62
  6. Step 6: Final answer
    x = 277,356.29

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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.