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Finding the Fourth Proportional to 313,013.16, 431,950.32 and 175,190.04

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Solution

The fourth proportional to 313,013.16, 431,950.32 and 175,190.04 is: 241,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,013.16 : 431,950.32 = 175,190.04 : x
  2. Step 2: Convert to fraction form
    313,013.16/431,950.32 = 175,190.04/x
  3. Step 3: Cross multiply
    313,013.16x = 431,950.32 × 175,190.04
  4. Step 4: Simplify right side
    313,013.16x = 75,673,393,838.81
  5. Step 5: Solve for x
    x = 75,673,393,838.81/313,013.16
  6. Step 6: Final answer
    x = 241,757.87

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1.5x scale

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.