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Finding the Fourth Proportional to 382,867.92, 574,280.94 and 116,606.16

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Solution

The fourth proportional to 382,867.92, 574,280.94 and 116,606.16 is: 174,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,867.92 : 574,280.94 = 116,606.16 : x
  2. Step 2: Convert to fraction form
    382,867.92/574,280.94 = 116,606.16/x
  3. Step 3: Cross multiply
    382,867.92x = 574,280.94 × 116,606.16
  4. Step 4: Simplify right side
    382,867.92x = 66,964,695,174.59
  5. Step 5: Solve for x
    x = 66,964,695,174.59/382,867.92
  6. Step 6: Final answer
    x = 174,902.86

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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.