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Finding the Fourth Proportional to 493,314.38, 739,671.93 and 193,435.70

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Solution

The fourth proportional to 493,314.38, 739,671.93 and 193,435.70 is: 290,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,314.38 : 739,671.93 = 193,435.70 : x
  2. Step 2: Convert to fraction form
    493,314.38/739,671.93 = 193,435.70/x
  3. Step 3: Cross multiply
    493,314.38x = 739,671.93 × 193,435.70
  4. Step 4: Simplify right side
    493,314.38x = 143,078,957,549.90
  5. Step 5: Solve for x
    x = 143,078,957,549.90/493,314.38
  6. Step 6: Final answer
    x = 290,036.06

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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.