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Finding the Fourth Proportional to 475,534.43, 713,610.78 and 205,925.85

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Solution

The fourth proportional to 475,534.43, 713,610.78 and 205,925.85 is: 309,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,534.43 : 713,610.78 = 205,925.85 : x
  2. Step 2: Convert to fraction form
    475,534.43/713,610.78 = 205,925.85/x
  3. Step 3: Cross multiply
    475,534.43x = 713,610.78 × 205,925.85
  4. Step 4: Simplify right side
    475,534.43x = 146,950,906,440.66
  5. Step 5: Solve for x
    x = 146,950,906,440.66/475,534.43
  6. Step 6: Final answer
    x = 309,022.64

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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.