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Finding the Fourth Proportional to 425,416.40, 587,073.42 and 234,429.74

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Solution

The fourth proportional to 425,416.40, 587,073.42 and 234,429.74 is: 323,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,416.40 : 587,073.42 = 234,429.74 : x
  2. Step 2: Convert to fraction form
    425,416.40/587,073.42 = 234,429.74/x
  3. Step 3: Cross multiply
    425,416.40x = 587,073.42 × 234,429.74
  4. Step 4: Simplify right side
    425,416.40x = 137,627,469,211.51
  5. Step 5: Solve for x
    x = 137,627,469,211.51/425,416.40
  6. Step 6: Final answer
    x = 323,512.37

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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.