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Finding the Fourth Proportional to 277,792.65, 416,196.90 and 235,474.20

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Solution

The fourth proportional to 277,792.65, 416,196.90 and 235,474.20 is: 352,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,792.65 : 416,196.90 = 235,474.20 : x
  2. Step 2: Convert to fraction form
    277,792.65/416,196.90 = 235,474.20/x
  3. Step 3: Cross multiply
    277,792.65x = 416,196.90 × 235,474.20
  4. Step 4: Simplify right side
    277,792.65x = 98,003,632,069.98
  5. Step 5: Solve for x
    x = 98,003,632,069.98/277,792.65
  6. Step 6: Final answer
    x = 352,794.19

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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.