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Finding the Fourth Proportional to 409,411.70, 614,751.15 and 222,787.70

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Solution

The fourth proportional to 409,411.70, 614,751.15 and 222,787.70 is: 334,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,411.70 : 614,751.15 = 222,787.70 : x
  2. Step 2: Convert to fraction form
    409,411.70/614,751.15 = 222,787.70/x
  3. Step 3: Cross multiply
    409,411.70x = 614,751.15 × 222,787.70
  4. Step 4: Simplify right side
    409,411.70x = 136,958,994,780.86
  5. Step 5: Solve for x
    x = 136,958,994,780.86/409,411.70
  6. Step 6: Final answer
    x = 334,526.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.