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Finding the Fourth Proportional to 298,393.53, 411,788.33 and 162,431.39

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Solution

The fourth proportional to 298,393.53, 411,788.33 and 162,431.39 is: 224,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,393.53 : 411,788.33 = 162,431.39 : x
  2. Step 2: Convert to fraction form
    298,393.53/411,788.33 = 162,431.39/x
  3. Step 3: Cross multiply
    298,393.53x = 411,788.33 × 162,431.39
  4. Step 4: Simplify right side
    298,393.53x = 66,887,350,827.68
  5. Step 5: Solve for x
    x = 66,887,350,827.68/298,393.53
  6. Step 6: Final answer
    x = 224,158.18

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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.