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Finding the Fourth Proportional to 477,613.54, 658,832.97 and 298,454.50

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Solution

The fourth proportional to 477,613.54, 658,832.97 and 298,454.50 is: 411,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,613.54 : 658,832.97 = 298,454.50 : x
  2. Step 2: Convert to fraction form
    477,613.54/658,832.97 = 298,454.50/x
  3. Step 3: Cross multiply
    477,613.54x = 658,832.97 × 298,454.50
  4. Step 4: Simplify right side
    477,613.54x = 196,631,664,644.87
  5. Step 5: Solve for x
    x = 196,631,664,644.87/477,613.54
  6. Step 6: Final answer
    x = 411,696.17

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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.