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Finding the Fourth Proportional to 364,264.29, 502,666.46 and 200,949.46

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Solution

The fourth proportional to 364,264.29, 502,666.46 and 200,949.46 is: 277,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,264.29 : 502,666.46 = 200,949.46 : x
  2. Step 2: Convert to fraction form
    364,264.29/502,666.46 = 200,949.46/x
  3. Step 3: Cross multiply
    364,264.29x = 502,666.46 × 200,949.46
  4. Step 4: Simplify right side
    364,264.29x = 101,010,552,189.26
  5. Step 5: Solve for x
    x = 101,010,552,189.26/364,264.29
  6. Step 6: Final answer
    x = 277,300.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.