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Finding the Fourth Proportional to 319,356.32, 478,640.00 and 274,059.27

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Solution

The fourth proportional to 319,356.32, 478,640.00 and 274,059.27 is: 410,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,356.32 : 478,640.00 = 274,059.27 : x
  2. Step 2: Convert to fraction form
    319,356.32/478,640.00 = 274,059.27/x
  3. Step 3: Cross multiply
    319,356.32x = 478,640.00 × 274,059.27
  4. Step 4: Simplify right side
    319,356.32x = 131,175,727,622.50
  5. Step 5: Solve for x
    x = 131,175,727,622.50/319,356.32
  6. Step 6: Final answer
    x = 410,750.38

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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.