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Finding the Fourth Proportional to 323,878.30, 488,283.74 and 301,046.02

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Solution

The fourth proportional to 323,878.30, 488,283.74 and 301,046.02 is: 453,861.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,878.30 : 488,283.74 = 301,046.02 : x
  2. Step 2: Convert to fraction form
    323,878.30/488,283.74 = 301,046.02/x
  3. Step 3: Cross multiply
    323,878.30x = 488,283.74 × 301,046.02
  4. Step 4: Simplify right side
    323,878.30x = 146,995,876,654.08
  5. Step 5: Solve for x
    x = 146,995,876,654.08/323,878.30
  6. Step 6: Final answer
    x = 453,861.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.