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Finding the Fourth Proportional to 412,847.39, 569,683.85 and 231,522.01

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Solution

The fourth proportional to 412,847.39, 569,683.85 and 231,522.01 is: 319,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,847.39 : 569,683.85 = 231,522.01 : x
  2. Step 2: Convert to fraction form
    412,847.39/569,683.85 = 231,522.01/x
  3. Step 3: Cross multiply
    412,847.39x = 569,683.85 × 231,522.01
  4. Step 4: Simplify right side
    412,847.39x = 131,894,346,010.51
  5. Step 5: Solve for x
    x = 131,894,346,010.51/412,847.39
  6. Step 6: Final answer
    x = 319,474.82

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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.