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Finding the Fourth Proportional to 298,297.95, 411,646.84 and 164,161.95

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Solution

The fourth proportional to 298,297.95, 411,646.84 and 164,161.95 is: 226,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,297.95 : 411,646.84 = 164,161.95 : x
  2. Step 2: Convert to fraction form
    298,297.95/411,646.84 = 164,161.95/x
  3. Step 3: Cross multiply
    298,297.95x = 411,646.84 × 164,161.95
  4. Step 4: Simplify right side
    298,297.95x = 67,576,747,965.74
  5. Step 5: Solve for x
    x = 67,576,747,965.74/298,297.95
  6. Step 6: Final answer
    x = 226,541.11

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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.