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Finding the Fourth Proportional to 298,303.18, 411,658.38 and 164,167.18

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Solution

The fourth proportional to 298,303.18, 411,658.38 and 164,167.18 is: 226,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,303.18 : 411,658.38 = 164,167.18 : x
  2. Step 2: Convert to fraction form
    298,303.18/411,658.38 = 164,167.18/x
  3. Step 3: Cross multiply
    298,303.18x = 411,658.38 × 164,167.18
  4. Step 4: Simplify right side
    298,303.18x = 67,580,795,367.97
  5. Step 5: Solve for x
    x = 67,580,795,367.97/298,303.18
  6. Step 6: Final answer
    x = 226,550.70

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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.