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Finding the Fourth Proportional to 569,198.22, 785,426.67 and 314,534.22

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Solution

The fourth proportional to 569,198.22, 785,426.67 and 314,534.22 is: 434,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,198.22 : 785,426.67 = 314,534.22 : x
  2. Step 2: Convert to fraction form
    569,198.22/785,426.67 = 314,534.22/x
  3. Step 3: Cross multiply
    569,198.22x = 785,426.67 × 314,534.22
  4. Step 4: Simplify right side
    569,198.22x = 247,043,565,015.65
  5. Step 5: Solve for x
    x = 247,043,565,015.65/569,198.22
  6. Step 6: Final answer
    x = 434,020.27

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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.