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Finding the Fourth Proportional to 413,767, 570,999 and 234,919

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Solution

The fourth proportional to 413,767, 570,999 and 234,919 is: 324,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,767 : 570,999 = 234,919 : x
  2. Step 2: Convert to fraction form
    413,767/570,999 = 234,919/x
  3. Step 3: Cross multiply
    413,767x = 570,999 × 234,919
  4. Step 4: Simplify right side
    413,767x = 134,138,514,081
  5. Step 5: Solve for x
    x = 134,138,514,081/413,767
  6. Step 6: Final answer
    x = 324,188.53

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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.