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Finding the Fourth Proportional to 705,863.38, 974,222.69 and 404,057.38

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Solution

The fourth proportional to 705,863.38, 974,222.69 and 404,057.38 is: 557,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,863.38 : 974,222.69 = 404,057.38 : x
  2. Step 2: Convert to fraction form
    705,863.38/974,222.69 = 404,057.38/x
  3. Step 3: Cross multiply
    705,863.38x = 974,222.69 × 404,057.38
  4. Step 4: Simplify right side
    705,863.38x = 393,641,867,657.95
  5. Step 5: Solve for x
    x = 393,641,867,657.95/705,863.38
  6. Step 6: Final answer
    x = 557,674.30

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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.