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Finding the Fourth Proportional to 412,881.60, 569,782.80 and 231,633.60

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Solution

The fourth proportional to 412,881.60, 569,782.80 and 231,633.60 is: 319,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,881.60 : 569,782.80 = 231,633.60 : x
  2. Step 2: Convert to fraction form
    412,881.60/569,782.80 = 231,633.60/x
  3. Step 3: Cross multiply
    412,881.60x = 569,782.80 × 231,633.60
  4. Step 4: Simplify right side
    412,881.60x = 131,980,841,182.08
  5. Step 5: Solve for x
    x = 131,980,841,182.08/412,881.60
  6. Step 6: Final answer
    x = 319,657.84

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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.