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Finding the Fourth Proportional to 455,640.30, 683,460.45 and 202,920.30

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Solution

The fourth proportional to 455,640.30, 683,460.45 and 202,920.30 is: 304,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,640.30 : 683,460.45 = 202,920.30 : x
  2. Step 2: Convert to fraction form
    455,640.30/683,460.45 = 202,920.30/x
  3. Step 3: Cross multiply
    455,640.30x = 683,460.45 × 202,920.30
  4. Step 4: Simplify right side
    455,640.30x = 138,687,999,552.14
  5. Step 5: Solve for x
    x = 138,687,999,552.14/455,640.30
  6. Step 6: Final answer
    x = 304,380.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.