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Finding the Fourth Proportional to 341,586.16, 471,353.11 and 198,318.22

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Solution

The fourth proportional to 341,586.16, 471,353.11 and 198,318.22 is: 273,658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,586.16 : 471,353.11 = 198,318.22 : x
  2. Step 2: Convert to fraction form
    341,586.16/471,353.11 = 198,318.22/x
  3. Step 3: Cross multiply
    341,586.16x = 471,353.11 × 198,318.22
  4. Step 4: Simplify right side
    341,586.16x = 93,477,909,766.66
  5. Step 5: Solve for x
    x = 93,477,909,766.66/341,586.16
  6. Step 6: Final answer
    x = 273,658.36

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1.5x scale

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.