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Finding the Fourth Proportional to 413,097.40, 570,027.54 and 231,771.52

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Solution

The fourth proportional to 413,097.40, 570,027.54 and 231,771.52 is: 319,818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,097.40 : 570,027.54 = 231,771.52 : x
  2. Step 2: Convert to fraction form
    413,097.40/570,027.54 = 231,771.52/x
  3. Step 3: Cross multiply
    413,097.40x = 570,027.54 × 231,771.52
  4. Step 4: Simplify right side
    413,097.40x = 132,116,149,387.66
  5. Step 5: Solve for x
    x = 132,116,149,387.66/413,097.40
  6. Step 6: Final answer
    x = 319,818.40

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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.