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Finding the Fourth Proportional to 313,880.70, 433,146.32 and 177,927.20

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Solution

The fourth proportional to 313,880.70, 433,146.32 and 177,927.20 is: 245,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,880.70 : 433,146.32 = 177,927.20 : x
  2. Step 2: Convert to fraction form
    313,880.70/433,146.32 = 177,927.20/x
  3. Step 3: Cross multiply
    313,880.70x = 433,146.32 × 177,927.20
  4. Step 4: Simplify right side
    313,880.70x = 77,068,511,907.90
  5. Step 5: Solve for x
    x = 77,068,511,907.90/313,880.70
  6. Step 6: Final answer
    x = 245,534.41

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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.