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Finding the Fourth Proportional to 341,776.32, 471,650.08 and 198,620.48

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Solution

The fourth proportional to 341,776.32, 471,650.08 and 198,620.48 is: 274,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,776.32 : 471,650.08 = 198,620.48 : x
  2. Step 2: Convert to fraction form
    341,776.32/471,650.08 = 198,620.48/x
  3. Step 3: Cross multiply
    341,776.32x = 471,650.08 × 198,620.48
  4. Step 4: Simplify right side
    341,776.32x = 93,679,365,281.64
  5. Step 5: Solve for x
    x = 93,679,365,281.64/341,776.32
  6. Step 6: Final answer
    x = 274,095.54

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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.