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Finding the Fourth Proportional to 412,567, 569,342.46 and 233,719

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Solution

The fourth proportional to 412,567, 569,342.46 and 233,719 is: 322,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,567 : 569,342.46 = 233,719 : x
  2. Step 2: Convert to fraction form
    412,567/569,342.46 = 233,719/x
  3. Step 3: Cross multiply
    412,567x = 569,342.46 × 233,719
  4. Step 4: Simplify right side
    412,567x = 133,066,150,408.74
  5. Step 5: Solve for x
    x = 133,066,150,408.74/412,567
  6. Step 6: Final answer
    x = 322,532.22

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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.