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Finding the Fourth Proportional to 341,965.63, 471,897.88 and 188,995.92

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Solution

The fourth proportional to 341,965.63, 471,897.88 and 188,995.92 is: 260,806.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,965.63 : 471,897.88 = 188,995.92 : x
  2. Step 2: Convert to fraction form
    341,965.63/471,897.88 = 188,995.92/x
  3. Step 3: Cross multiply
    341,965.63x = 471,897.88 × 188,995.92
  4. Step 4: Simplify right side
    341,965.63x = 89,186,771,734.54
  5. Step 5: Solve for x
    x = 89,186,771,734.54/341,965.63
  6. Step 6: Final answer
    x = 260,806.24

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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.