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Finding the Fourth Proportional to 425,164.68, 586,720.22 and 234,195.84

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Solution

The fourth proportional to 425,164.68, 586,720.22 and 234,195.84 is: 323,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,164.68 : 586,720.22 = 234,195.84 : x
  2. Step 2: Convert to fraction form
    425,164.68/586,720.22 = 234,195.84/x
  3. Step 3: Cross multiply
    425,164.68x = 586,720.22 × 234,195.84
  4. Step 4: Simplify right side
    425,164.68x = 137,407,433,596.91
  5. Step 5: Solve for x
    x = 137,407,433,596.91/425,164.68
  6. Step 6: Final answer
    x = 323,186.38

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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.