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Finding the Fourth Proportional to 340,832.49, 470,352.12 and 187,876.58

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Solution

The fourth proportional to 340,832.49, 470,352.12 and 187,876.58 is: 259,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,832.49 : 470,352.12 = 187,876.58 : x
  2. Step 2: Convert to fraction form
    340,832.49/470,352.12 = 187,876.58/x
  3. Step 3: Cross multiply
    340,832.49x = 470,352.12 × 187,876.58
  4. Step 4: Simplify right side
    340,832.49x = 88,368,147,701.35
  5. Step 5: Solve for x
    x = 88,368,147,701.35/340,832.49
  6. Step 6: Final answer
    x = 259,271.49

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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.