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Finding the Fourth Proportional to 341,858.61, 471,754.96 and 188,894.36

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Solution

The fourth proportional to 341,858.61, 471,754.96 and 188,894.36 is: 260,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,858.61 : 471,754.96 = 188,894.36 : x
  2. Step 2: Convert to fraction form
    341,858.61/471,754.96 = 188,894.36/x
  3. Step 3: Cross multiply
    341,858.61x = 471,754.96 × 188,894.36
  4. Step 4: Simplify right side
    341,858.61x = 89,111,851,953.18
  5. Step 5: Solve for x
    x = 89,111,851,953.18/341,858.61
  6. Step 6: Final answer
    x = 260,668.74

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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.