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Finding the Fourth Proportional to 286,396.61, 429,650.24 and 108,889.82

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Solution

The fourth proportional to 286,396.61, 429,650.24 and 108,889.82 is: 163,355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,396.61 : 429,650.24 = 108,889.82 : x
  2. Step 2: Convert to fraction form
    286,396.61/429,650.24 = 108,889.82/x
  3. Step 3: Cross multiply
    286,396.61x = 429,650.24 × 108,889.82
  4. Step 4: Simplify right side
    286,396.61x = 46,784,536,064.69
  5. Step 5: Solve for x
    x = 46,784,536,064.69/286,396.61
  6. Step 6: Final answer
    x = 163,355.76

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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.