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Finding the Fourth Proportional to 404,902.53, 607,467.30 and 177,217.98

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Solution

The fourth proportional to 404,902.53, 607,467.30 and 177,217.98 is: 265,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,902.53 : 607,467.30 = 177,217.98 : x
  2. Step 2: Convert to fraction form
    404,902.53/607,467.30 = 177,217.98/x
  3. Step 3: Cross multiply
    404,902.53x = 607,467.30 × 177,217.98
  4. Step 4: Simplify right side
    404,902.53x = 107,654,124,784.72
  5. Step 5: Solve for x
    x = 107,654,124,784.72/404,902.53
  6. Step 6: Final answer
    x = 265,876.64

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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.