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Finding the Fourth Proportional to 341,495.84, 471,423.72 and 198,228.30

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Solution

The fourth proportional to 341,495.84, 471,423.72 and 198,228.30 is: 273,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,495.84 : 471,423.72 = 198,228.30 : x
  2. Step 2: Convert to fraction form
    341,495.84/471,423.72 = 198,228.30/x
  3. Step 3: Cross multiply
    341,495.84x = 471,423.72 × 198,228.30
  4. Step 4: Simplify right side
    341,495.84x = 93,449,524,363.12
  5. Step 5: Solve for x
    x = 93,449,524,363.12/341,495.84
  6. Step 6: Final answer
    x = 273,647.62

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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.