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Finding the Fourth Proportional to 413,284.57, 570,351.65 and 229,523.98

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Solution

The fourth proportional to 413,284.57, 570,351.65 and 229,523.98 is: 316,753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,284.57 : 570,351.65 = 229,523.98 : x
  2. Step 2: Convert to fraction form
    413,284.57/570,351.65 = 229,523.98/x
  3. Step 3: Cross multiply
    413,284.57x = 570,351.65 × 229,523.98
  4. Step 4: Simplify right side
    413,284.57x = 130,909,380,707.57
  5. Step 5: Solve for x
    x = 130,909,380,707.57/413,284.57
  6. Step 6: Final answer
    x = 316,753.61

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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.