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Finding the Fourth Proportional to 313,524, 432,787.12 and 218,086.08

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Solution

The fourth proportional to 313,524, 432,787.12 and 218,086.08 is: 301,045.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,524 : 432,787.12 = 218,086.08 : x
  2. Step 2: Convert to fraction form
    313,524/432,787.12 = 218,086.08/x
  3. Step 3: Cross multiply
    313,524x = 432,787.12 × 218,086.08
  4. Step 4: Simplify right side
    313,524x = 94,384,846,475.29
  5. Step 5: Solve for x
    x = 94,384,846,475.29/313,524
  6. Step 6: Final answer
    x = 301,045.04

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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.