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Finding the Fourth Proportional to 703,110.29, 970,233.73 and 412,690.46

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Solution

The fourth proportional to 703,110.29, 970,233.73 and 412,690.46 is: 569,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,110.29 : 970,233.73 = 412,690.46 : x
  2. Step 2: Convert to fraction form
    703,110.29/970,233.73 = 412,690.46/x
  3. Step 3: Cross multiply
    703,110.29x = 970,233.73 × 412,690.46
  4. Step 4: Simplify right side
    703,110.29x = 400,406,198,458.32
  5. Step 5: Solve for x
    x = 400,406,198,458.32/703,110.29
  6. Step 6: Final answer
    x = 569,478.51

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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.