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Finding the Fourth Proportional to 464,876.58, 696,655.67 and 194,713.59

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Solution

The fourth proportional to 464,876.58, 696,655.67 and 194,713.59 is: 291,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,876.58 : 696,655.67 = 194,713.59 : x
  2. Step 2: Convert to fraction form
    464,876.58/696,655.67 = 194,713.59/x
  3. Step 3: Cross multiply
    464,876.58x = 696,655.67 × 194,713.59
  4. Step 4: Simplify right side
    464,876.58x = 135,648,325,525.99
  5. Step 5: Solve for x
    x = 135,648,325,525.99/464,876.58
  6. Step 6: Final answer
    x = 291,794.28

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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.