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Finding the Fourth Proportional to 336,151.83, 463,912.47 and 205,385.47

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Solution

The fourth proportional to 336,151.83, 463,912.47 and 205,385.47 is: 283,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,151.83 : 463,912.47 = 205,385.47 : x
  2. Step 2: Convert to fraction form
    336,151.83/463,912.47 = 205,385.47/x
  3. Step 3: Cross multiply
    336,151.83x = 463,912.47 × 205,385.47
  4. Step 4: Simplify right side
    336,151.83x = 95,280,879,530.03
  5. Step 5: Solve for x
    x = 95,280,879,530.03/336,151.83
  6. Step 6: Final answer
    x = 283,445.96

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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.