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Finding the Fourth Proportional to 413,350.59, 570,392.25 and 232,027.50

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Solution

The fourth proportional to 413,350.59, 570,392.25 and 232,027.50 is: 320,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,350.59 : 570,392.25 = 232,027.50 : x
  2. Step 2: Convert to fraction form
    413,350.59/570,392.25 = 232,027.50/x
  3. Step 3: Cross multiply
    413,350.59x = 570,392.25 × 232,027.50
  4. Step 4: Simplify right side
    413,350.59x = 132,346,687,786.88
  5. Step 5: Solve for x
    x = 132,346,687,786.88/413,350.59
  6. Step 6: Final answer
    x = 320,180.23

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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.