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Finding the Fourth Proportional to 413,604.37, 570,761.59 and 229,842.32

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Solution

The fourth proportional to 413,604.37, 570,761.59 and 229,842.32 is: 317,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,604.37 : 570,761.59 = 229,842.32 : x
  2. Step 2: Convert to fraction form
    413,604.37/570,761.59 = 229,842.32/x
  3. Step 3: Cross multiply
    413,604.37x = 570,761.59 × 229,842.32
  4. Step 4: Simplify right side
    413,604.37x = 131,185,168,012.49
  5. Step 5: Solve for x
    x = 131,185,168,012.49/413,604.37
  6. Step 6: Final answer
    x = 317,175.49

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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.