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Finding the Fourth Proportional to 233,520.84, 322,146.90 and 224,467.56

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Solution

The fourth proportional to 233,520.84, 322,146.90 and 224,467.56 is: 309,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,520.84 : 322,146.90 = 224,467.56 : x
  2. Step 2: Convert to fraction form
    233,520.84/322,146.90 = 224,467.56/x
  3. Step 3: Cross multiply
    233,520.84x = 322,146.90 × 224,467.56
  4. Step 4: Simplify right side
    233,520.84x = 72,311,528,604.56
  5. Step 5: Solve for x
    x = 72,311,528,604.56/233,520.84
  6. Step 6: Final answer
    x = 309,657.71

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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.