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Finding the Fourth Proportional to 567,266.46, 782,844.12 and 312,634.05

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Solution

The fourth proportional to 567,266.46, 782,844.12 and 312,634.05 is: 431,444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,266.46 : 782,844.12 = 312,634.05 : x
  2. Step 2: Convert to fraction form
    567,266.46/782,844.12 = 312,634.05/x
  3. Step 3: Cross multiply
    567,266.46x = 782,844.12 × 312,634.05
  4. Step 4: Simplify right side
    567,266.46x = 244,743,727,754.29
  5. Step 5: Solve for x
    x = 244,743,727,754.29/567,266.46
  6. Step 6: Final answer
    x = 431,444.03

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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.