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Finding the Fourth Proportional to 313,994.43, 433,184.49 and 177,999.57

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Solution

The fourth proportional to 313,994.43, 433,184.49 and 177,999.57 is: 245,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,994.43 : 433,184.49 = 177,999.57 : x
  2. Step 2: Convert to fraction form
    313,994.43/433,184.49 = 177,999.57/x
  3. Step 3: Cross multiply
    313,994.43x = 433,184.49 × 177,999.57
  4. Step 4: Simplify right side
    313,994.43x = 77,106,652,950.67
  5. Step 5: Solve for x
    x = 77,106,652,950.67/313,994.43
  6. Step 6: Final answer
    x = 245,566.95

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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.