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Finding the Fourth Proportional to 425,840.68, 587,653.14 and 234,871.84

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Solution

The fourth proportional to 425,840.68, 587,653.14 and 234,871.84 is: 324,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,840.68 : 587,653.14 = 234,871.84 : x
  2. Step 2: Convert to fraction form
    425,840.68/587,653.14 = 234,871.84/x
  3. Step 3: Cross multiply
    425,840.68x = 587,653.14 × 234,871.84
  4. Step 4: Simplify right side
    425,840.68x = 138,023,174,273.58
  5. Step 5: Solve for x
    x = 138,023,174,273.58/425,840.68
  6. Step 6: Final answer
    x = 324,119.28

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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.