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Finding the Fourth Proportional to 341,816.96, 471,626.88 and 198,492.16

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Solution

The fourth proportional to 341,816.96, 471,626.88 and 198,492.16 is: 273,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,816.96 : 471,626.88 = 198,492.16 : x
  2. Step 2: Convert to fraction form
    341,816.96/471,626.88 = 198,492.16/x
  3. Step 3: Cross multiply
    341,816.96x = 471,626.88 × 198,492.16
  4. Step 4: Simplify right side
    341,816.96x = 93,614,238,125.26
  5. Step 5: Solve for x
    x = 93,614,238,125.26/341,816.96
  6. Step 6: Final answer
    x = 273,872.42

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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.