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Finding the Fourth Proportional to 341,457.35, 471,186.92 and 188,470.98

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Solution

The fourth proportional to 341,457.35, 471,186.92 and 188,470.98 is: 260,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,457.35 : 471,186.92 = 188,470.98 : x
  2. Step 2: Convert to fraction form
    341,457.35/471,186.92 = 188,470.98/x
  3. Step 3: Cross multiply
    341,457.35x = 471,186.92 × 188,470.98
  4. Step 4: Simplify right side
    341,457.35x = 88,805,061,046.76
  5. Step 5: Solve for x
    x = 88,805,061,046.76/341,457.35
  6. Step 6: Final answer
    x = 260,076.59

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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.