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Finding the Fourth Proportional to 412,416.96, 569,136.48 and 233,568.96

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Solution

The fourth proportional to 412,416.96, 569,136.48 and 233,568.96 is: 322,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,416.96 : 569,136.48 = 233,568.96 : x
  2. Step 2: Convert to fraction form
    412,416.96/569,136.48 = 233,568.96/x
  3. Step 3: Cross multiply
    412,416.96x = 569,136.48 × 233,568.96
  4. Step 4: Simplify right side
    412,416.96x = 132,932,615,731.66
  5. Step 5: Solve for x
    x = 132,932,615,731.66/412,416.96
  6. Step 6: Final answer
    x = 322,325.77

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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.