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Finding the Fourth Proportional to 470,940.88, 649,957.32 and 269,737.04

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Solution

The fourth proportional to 470,940.88, 649,957.32 and 269,737.04 is: 372,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,940.88 : 649,957.32 = 269,737.04 : x
  2. Step 2: Convert to fraction form
    470,940.88/649,957.32 = 269,737.04/x
  3. Step 3: Cross multiply
    470,940.88x = 649,957.32 × 269,737.04
  4. Step 4: Simplify right side
    470,940.88x = 175,317,563,623.13
  5. Step 5: Solve for x
    x = 175,317,563,623.13/470,940.88
  6. Step 6: Final answer
    x = 372,270.85

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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.