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Finding the Fourth Proportional to 413,239.53, 570,226.68 and 231,971.39

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Solution

The fourth proportional to 413,239.53, 570,226.68 and 231,971.39 is: 320,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,239.53 : 570,226.68 = 231,971.39 : x
  2. Step 2: Convert to fraction form
    413,239.53/570,226.68 = 231,971.39/x
  3. Step 3: Cross multiply
    413,239.53x = 570,226.68 × 231,971.39
  4. Step 4: Simplify right side
    413,239.53x = 132,276,272,723.55
  5. Step 5: Solve for x
    x = 132,276,272,723.55/413,239.53
  6. Step 6: Final answer
    x = 320,095.88

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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.