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Finding the Fourth Proportional to 667,219.12, 920,828.12 and 380,782.32

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Solution

The fourth proportional to 667,219.12, 920,828.12 and 380,782.32 is: 525,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,219.12 : 920,828.12 = 380,782.32 : x
  2. Step 2: Convert to fraction form
    667,219.12/920,828.12 = 380,782.32/x
  3. Step 3: Cross multiply
    667,219.12x = 920,828.12 × 380,782.32
  4. Step 4: Simplify right side
    667,219.12x = 350,635,067,854.84
  5. Step 5: Solve for x
    x = 350,635,067,854.84/667,219.12
  6. Step 6: Final answer
    x = 525,517.12

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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.