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Finding the Fourth Proportional to 314,834.94, 472,391.80 and 165,039.62

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Solution

The fourth proportional to 314,834.94, 472,391.80 and 165,039.62 is: 247,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,834.94 : 472,391.80 = 165,039.62 : x
  2. Step 2: Convert to fraction form
    314,834.94/472,391.80 = 165,039.62/x
  3. Step 3: Cross multiply
    314,834.94x = 472,391.80 × 165,039.62
  4. Step 4: Simplify right side
    314,834.94x = 77,963,360,388.56
  5. Step 5: Solve for x
    x = 77,963,360,388.56/314,834.94
  6. Step 6: Final answer
    x = 247,632.49

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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.