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Finding the Fourth Proportional to 364,329.16, 502,774.72 and 200,982

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Solution

The fourth proportional to 364,329.16, 502,774.72 and 200,982 is: 277,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,329.16 : 502,774.72 = 200,982 : x
  2. Step 2: Convert to fraction form
    364,329.16/502,774.72 = 200,982/x
  3. Step 3: Cross multiply
    364,329.16x = 502,774.72 × 200,982
  4. Step 4: Simplify right side
    364,329.16x = 101,048,668,775.04
  5. Step 5: Solve for x
    x = 101,048,668,775.04/364,329.16
  6. Step 6: Final answer
    x = 277,355.42

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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.