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Finding the Fourth Proportional to 340,834, 470,354.20 and 187,878.08

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Solution

The fourth proportional to 340,834, 470,354.20 and 187,878.08 is: 259,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,834 : 470,354.20 = 187,878.08 : x
  2. Step 2: Convert to fraction form
    340,834/470,354.20 = 187,878.08/x
  3. Step 3: Cross multiply
    340,834x = 470,354.20 × 187,878.08
  4. Step 4: Simplify right side
    340,834x = 88,369,244,015.94
  5. Step 5: Solve for x
    x = 88,369,244,015.94/340,834
  6. Step 6: Final answer
    x = 259,273.56

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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.