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Finding the Fourth Proportional to 567,194.16, 782,744.34 and 312,561.75

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Solution

The fourth proportional to 567,194.16, 782,744.34 and 312,561.75 is: 431,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,194.16 : 782,744.34 = 312,561.75 : x
  2. Step 2: Convert to fraction form
    567,194.16/782,744.34 = 312,561.75/x
  3. Step 3: Cross multiply
    567,194.16x = 782,744.34 × 312,561.75
  4. Step 4: Simplify right side
    567,194.16x = 244,655,940,713.00
  5. Step 5: Solve for x
    x = 244,655,940,713.00/567,194.16
  6. Step 6: Final answer
    x = 431,344.25

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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.