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Finding the Fourth Proportional to 425,460.64, 587,135.76 and 231,868.36

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Solution

The fourth proportional to 425,460.64, 587,135.76 and 231,868.36 is: 319,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,460.64 : 587,135.76 = 231,868.36 : x
  2. Step 2: Convert to fraction form
    425,460.64/587,135.76 = 231,868.36/x
  3. Step 3: Cross multiply
    425,460.64x = 587,135.76 × 231,868.36
  4. Step 4: Simplify right side
    425,460.64x = 136,138,205,768.55
  5. Step 5: Solve for x
    x = 136,138,205,768.55/425,460.64
  6. Step 6: Final answer
    x = 319,978.38

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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.