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Finding the Fourth Proportional to 501,787.72, 692,152.08 and 297,694.15

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Solution

The fourth proportional to 501,787.72, 692,152.08 and 297,694.15 is: 410,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,787.72 : 692,152.08 = 297,694.15 : x
  2. Step 2: Convert to fraction form
    501,787.72/692,152.08 = 297,694.15/x
  3. Step 3: Cross multiply
    501,787.72x = 692,152.08 × 297,694.15
  4. Step 4: Simplify right side
    501,787.72x = 206,049,620,177.10
  5. Step 5: Solve for x
    x = 206,049,620,177.10/501,787.72
  6. Step 6: Final answer
    x = 410,631.06

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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.