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Finding the Fourth Proportional to 342,098.16, 471,787.74 and 221,112.24

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Solution

The fourth proportional to 342,098.16, 471,787.74 and 221,112.24 is: 304,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,098.16 : 471,787.74 = 221,112.24 : x
  2. Step 2: Convert to fraction form
    342,098.16/471,787.74 = 221,112.24/x
  3. Step 3: Cross multiply
    342,098.16x = 471,787.74 × 221,112.24
  4. Step 4: Simplify right side
    342,098.16x = 104,318,043,995.94
  5. Step 5: Solve for x
    x = 104,318,043,995.94/342,098.16
  6. Step 6: Final answer
    x = 304,936.00

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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.