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Finding the Fourth Proportional to 567,120.34, 782,625.42 and 312,471.46

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Solution

The fourth proportional to 567,120.34, 782,625.42 and 312,471.46 is: 431,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,120.34 : 782,625.42 = 312,471.46 : x
  2. Step 2: Convert to fraction form
    567,120.34/782,625.42 = 312,471.46/x
  3. Step 3: Cross multiply
    567,120.34x = 782,625.42 × 312,471.46
  4. Step 4: Simplify right side
    567,120.34x = 244,548,107,620.51
  5. Step 5: Solve for x
    x = 244,548,107,620.51/567,120.34
  6. Step 6: Final answer
    x = 431,210.26

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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.