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Finding the Fourth Proportional to 340,634.96, 470,070.24 and 187,687.52

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Solution

The fourth proportional to 340,634.96, 470,070.24 and 187,687.52 is: 259,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,634.96 : 470,070.24 = 187,687.52 : x
  2. Step 2: Convert to fraction form
    340,634.96/470,070.24 = 187,687.52/x
  3. Step 3: Cross multiply
    340,634.96x = 470,070.24 × 187,687.52
  4. Step 4: Simplify right side
    340,634.96x = 88,226,317,571.40
  5. Step 5: Solve for x
    x = 88,226,317,571.40/340,634.96
  6. Step 6: Final answer
    x = 259,005.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.