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Finding the Fourth Proportional to 425,165.43, 586,721.25 and 234,196.59

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Solution

The fourth proportional to 425,165.43, 586,721.25 and 234,196.59 is: 323,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,165.43 : 586,721.25 = 234,196.59 : x
  2. Step 2: Convert to fraction form
    425,165.43/586,721.25 = 234,196.59/x
  3. Step 3: Cross multiply
    425,165.43x = 586,721.25 × 234,196.59
  4. Step 4: Simplify right side
    425,165.43x = 137,408,116,030.54
  5. Step 5: Solve for x
    x = 137,408,116,030.54/425,165.43
  6. Step 6: Final answer
    x = 323,187.41

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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.