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Finding the Fourth Proportional to 316,617.54, 474,940.89 and 176,270.46

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Solution

The fourth proportional to 316,617.54, 474,940.89 and 176,270.46 is: 264,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,617.54 : 474,940.89 = 176,270.46 : x
  2. Step 2: Convert to fraction form
    316,617.54/474,940.89 = 176,270.46/x
  3. Step 3: Cross multiply
    316,617.54x = 474,940.89 × 176,270.46
  4. Step 4: Simplify right side
    316,617.54x = 83,718,049,153.11
  5. Step 5: Solve for x
    x = 83,718,049,153.11/316,617.54
  6. Step 6: Final answer
    x = 264,413.81

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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.