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Finding the Fourth Proportional to 715,774.73, 1,072,874.77 and 294,820.97

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Solution

The fourth proportional to 715,774.73, 1,072,874.77 and 294,820.97 is: 441,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,774.73 : 1,072,874.77 = 294,820.97 : x
  2. Step 2: Convert to fraction form
    715,774.73/1,072,874.77 = 294,820.97/x
  3. Step 3: Cross multiply
    715,774.73x = 1,072,874.77 × 294,820.97
  4. Step 4: Simplify right side
    715,774.73x = 316,305,974,278.50
  5. Step 5: Solve for x
    x = 316,305,974,278.50/715,774.73
  6. Step 6: Final answer
    x = 441,907.16

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Why These Related Problems?

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