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Finding the Fourth Proportional to 256,787.70, 384,452.55 and 242,823.30

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Solution

The fourth proportional to 256,787.70, 384,452.55 and 242,823.30 is: 363,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,787.70 : 384,452.55 = 242,823.30 : x
  2. Step 2: Convert to fraction form
    256,787.70/384,452.55 = 242,823.30/x
  3. Step 3: Cross multiply
    256,787.70x = 384,452.55 × 242,823.30
  4. Step 4: Simplify right side
    256,787.70x = 93,354,036,884.42
  5. Step 5: Solve for x
    x = 93,354,036,884.42/256,787.70
  6. Step 6: Final answer
    x = 363,545.59

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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.