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Finding the Fourth Proportional to 413,767.04, 570,999 and 234,919.04

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Solution

The fourth proportional to 413,767.04, 570,999 and 234,919.04 is: 324,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,767.04 : 570,999 = 234,919.04 : x
  2. Step 2: Convert to fraction form
    413,767.04/570,999 = 234,919.04/x
  3. Step 3: Cross multiply
    413,767.04x = 570,999 × 234,919.04
  4. Step 4: Simplify right side
    413,767.04x = 134,138,536,920.96
  5. Step 5: Solve for x
    x = 134,138,536,920.96/413,767.04
  6. Step 6: Final answer
    x = 324,188.55

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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.