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Finding the Fourth Proportional to 298,551.11, 411,981.86 and 164,415.11

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Solution

The fourth proportional to 298,551.11, 411,981.86 and 164,415.11 is: 226,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,551.11 : 411,981.86 = 164,415.11 : x
  2. Step 2: Convert to fraction form
    298,551.11/411,981.86 = 164,415.11/x
  3. Step 3: Cross multiply
    298,551.11x = 411,981.86 × 164,415.11
  4. Step 4: Simplify right side
    298,551.11x = 67,736,041,181.03
  5. Step 5: Solve for x
    x = 67,736,041,181.03/298,551.11
  6. Step 6: Final answer
    x = 226,882.57

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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.