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Finding the Fourth Proportional to 413,759, 570,987.96 and 234,911

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Solution

The fourth proportional to 413,759, 570,987.96 and 234,911 is: 324,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,759 : 570,987.96 = 234,911 : x
  2. Step 2: Convert to fraction form
    413,759/570,987.96 = 234,911/x
  3. Step 3: Cross multiply
    413,759x = 570,987.96 × 234,911
  4. Step 4: Simplify right side
    413,759x = 134,131,352,671.56
  5. Step 5: Solve for x
    x = 134,131,352,671.56/413,759
  6. Step 6: Final answer
    x = 324,177.49

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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.