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Finding the Fourth Proportional to 413,092.96, 570,066.68 and 231,804.46

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Solution

The fourth proportional to 413,092.96, 570,066.68 and 231,804.46 is: 319,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,092.96 : 570,066.68 = 231,804.46 : x
  2. Step 2: Convert to fraction form
    413,092.96/570,066.68 = 231,804.46/x
  3. Step 3: Cross multiply
    413,092.96x = 570,066.68 × 231,804.46
  4. Step 4: Simplify right side
    413,092.96x = 132,143,998,921.39
  5. Step 5: Solve for x
    x = 132,143,998,921.39/413,092.96
  6. Step 6: Final answer
    x = 319,889.25

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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.