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Finding the Fourth Proportional to 341,155.80, 470,789.15 and 188,208.63

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Solution

The fourth proportional to 341,155.80, 470,789.15 and 188,208.63 is: 259,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,155.80 : 470,789.15 = 188,208.63 : x
  2. Step 2: Convert to fraction form
    341,155.80/470,789.15 = 188,208.63/x
  3. Step 3: Cross multiply
    341,155.80x = 470,789.15 × 188,208.63
  4. Step 4: Simplify right side
    341,155.80x = 88,606,579,999.32
  5. Step 5: Solve for x
    x = 88,606,579,999.32/341,155.80
  6. Step 6: Final answer
    x = 259,724.68

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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.