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Finding the Fourth Proportional to 412,873.60, 569,771.76 and 231,625.60

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Solution

The fourth proportional to 412,873.60, 569,771.76 and 231,625.60 is: 319,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,873.60 : 569,771.76 = 231,625.60 : x
  2. Step 2: Convert to fraction form
    412,873.60/569,771.76 = 231,625.60/x
  3. Step 3: Cross multiply
    412,873.60x = 569,771.76 × 231,625.60
  4. Step 4: Simplify right side
    412,873.60x = 131,973,725,773.06
  5. Step 5: Solve for x
    x = 131,973,725,773.06/412,873.60
  6. Step 6: Final answer
    x = 319,646.80

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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.