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Finding the Fourth Proportional to 638,407.98, 957,751.92 and 189,164.16

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Solution

The fourth proportional to 638,407.98, 957,751.92 and 189,164.16 is: 283,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,407.98 : 957,751.92 = 189,164.16 : x
  2. Step 2: Convert to fraction form
    638,407.98/957,751.92 = 189,164.16/x
  3. Step 3: Cross multiply
    638,407.98x = 957,751.92 × 189,164.16
  4. Step 4: Simplify right side
    638,407.98x = 181,172,337,435.19
  5. Step 5: Solve for x
    x = 181,172,337,435.19/638,407.98
  6. Step 6: Final answer
    x = 283,787.71

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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.