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Finding the Fourth Proportional to 413,584.70, 570,800.39 and 232,296.62

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Solution

The fourth proportional to 413,584.70, 570,800.39 and 232,296.62 is: 320,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,584.70 : 570,800.39 = 232,296.62 : x
  2. Step 2: Convert to fraction form
    413,584.70/570,800.39 = 232,296.62/x
  3. Step 3: Cross multiply
    413,584.70x = 570,800.39 × 232,296.62
  4. Step 4: Simplify right side
    413,584.70x = 132,594,997,276.20
  5. Step 5: Solve for x
    x = 132,594,997,276.20/413,584.70
  6. Step 6: Final answer
    x = 320,599.38

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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.