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Finding the Fourth Proportional to 492,787.62, 680,047.90 and 266,433.12

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Solution

The fourth proportional to 492,787.62, 680,047.90 and 266,433.12 is: 367,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,787.62 : 680,047.90 = 266,433.12 : x
  2. Step 2: Convert to fraction form
    492,787.62/680,047.90 = 266,433.12/x
  3. Step 3: Cross multiply
    492,787.62x = 680,047.90 × 266,433.12
  4. Step 4: Simplify right side
    492,787.62x = 181,187,283,746.45
  5. Step 5: Solve for x
    x = 181,187,283,746.45/492,787.62
  6. Step 6: Final answer
    x = 367,678.24

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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.