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Finding the Fourth Proportional to 464,548.68, 696,821.40 and 127,589.58

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Solution

The fourth proportional to 464,548.68, 696,821.40 and 127,589.58 is: 191,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,548.68 : 696,821.40 = 127,589.58 : x
  2. Step 2: Convert to fraction form
    464,548.68/696,821.40 = 127,589.58/x
  3. Step 3: Cross multiply
    464,548.68x = 696,821.40 × 127,589.58
  4. Step 4: Simplify right side
    464,548.68x = 88,907,149,761.01
  5. Step 5: Solve for x
    x = 88,907,149,761.01/464,548.68
  6. Step 6: Final answer
    x = 191,383.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.