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Finding the Fourth Proportional to 424,046.86, 585,177.86 and 233,056.15

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Solution

The fourth proportional to 424,046.86, 585,177.86 and 233,056.15 is: 321,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,046.86 : 585,177.86 = 233,056.15 : x
  2. Step 2: Convert to fraction form
    424,046.86/585,177.86 = 233,056.15/x
  3. Step 3: Cross multiply
    424,046.86x = 585,177.86 × 233,056.15
  4. Step 4: Simplify right side
    424,046.86x = 136,379,299,116.84
  5. Step 5: Solve for x
    x = 136,379,299,116.84/424,046.86
  6. Step 6: Final answer
    x = 321,613.75

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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.