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Finding the Fourth Proportional to 413,502, 570,590.22 and 232,212.47

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Solution

The fourth proportional to 413,502, 570,590.22 and 232,212.47 is: 320,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,502 : 570,590.22 = 232,212.47 : x
  2. Step 2: Convert to fraction form
    413,502/570,590.22 = 232,212.47/x
  3. Step 3: Cross multiply
    413,502x = 570,590.22 × 232,212.47
  4. Step 4: Simplify right side
    413,502x = 132,498,161,491.09
  5. Step 5: Solve for x
    x = 132,498,161,491.09/413,502
  6. Step 6: Final answer
    x = 320,429.31

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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.