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Finding the Fourth Proportional to 512,240.11, 706,234.22 and 420,019.63

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Solution

The fourth proportional to 512,240.11, 706,234.22 and 420,019.63 is: 579,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,240.11 : 706,234.22 = 420,019.63 : x
  2. Step 2: Convert to fraction form
    512,240.11/706,234.22 = 420,019.63/x
  3. Step 3: Cross multiply
    512,240.11x = 706,234.22 × 420,019.63
  4. Step 4: Simplify right side
    512,240.11x = 296,632,233,487.13
  5. Step 5: Solve for x
    x = 296,632,233,487.13/512,240.11
  6. Step 6: Final answer
    x = 579,088.26

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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.