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Finding the Fourth Proportional to 617,137.16, 925,705.76 and 261,902.07

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Solution

The fourth proportional to 617,137.16, 925,705.76 and 261,902.07 is: 392,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,137.16 : 925,705.76 = 261,902.07 : x
  2. Step 2: Convert to fraction form
    617,137.16/925,705.76 = 261,902.07/x
  3. Step 3: Cross multiply
    617,137.16x = 925,705.76 × 261,902.07
  4. Step 4: Simplify right side
    617,137.16x = 242,444,253,445.41
  5. Step 5: Solve for x
    x = 242,444,253,445.41/617,137.16
  6. Step 6: Final answer
    x = 392,853.11

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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.