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Finding the Fourth Proportional to 267,898.32, 401,847.54 and 208,778.28

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Solution

The fourth proportional to 267,898.32, 401,847.54 and 208,778.28 is: 313,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,898.32 : 401,847.54 = 208,778.28 : x
  2. Step 2: Convert to fraction form
    267,898.32/401,847.54 = 208,778.28/x
  3. Step 3: Cross multiply
    267,898.32x = 401,847.54 × 208,778.28
  4. Step 4: Simplify right side
    267,898.32x = 83,897,038,223.43
  5. Step 5: Solve for x
    x = 83,897,038,223.43/267,898.32
  6. Step 6: Final answer
    x = 313,167.47

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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.