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Finding the Fourth Proportional to 341,955.74, 471,957.52 and 198,798.82

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Solution

The fourth proportional to 341,955.74, 471,957.52 and 198,798.82 is: 274,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,955.74 : 471,957.52 = 198,798.82 : x
  2. Step 2: Convert to fraction form
    341,955.74/471,957.52 = 198,798.82/x
  3. Step 3: Cross multiply
    341,955.74x = 471,957.52 × 198,798.82
  4. Step 4: Simplify right side
    341,955.74x = 93,824,599,743.02
  5. Step 5: Solve for x
    x = 93,824,599,743.02/341,955.74
  6. Step 6: Final answer
    x = 274,376.44

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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.