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Finding the Fourth Proportional to 427,787.78, 642,312.48 and 238,617.76

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Solution

The fourth proportional to 427,787.78, 642,312.48 and 238,617.76 is: 358,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,787.78 : 642,312.48 = 238,617.76 : x
  2. Step 2: Convert to fraction form
    427,787.78/642,312.48 = 238,617.76/x
  3. Step 3: Cross multiply
    427,787.78x = 642,312.48 × 238,617.76
  4. Step 4: Simplify right side
    427,787.78x = 153,267,165,197.65
  5. Step 5: Solve for x
    x = 153,267,165,197.65/427,787.78
  6. Step 6: Final answer
    x = 358,278.50

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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.