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Finding the Fourth Proportional to 298,400.02, 411,810.69 and 164,264.02

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Solution

The fourth proportional to 298,400.02, 411,810.69 and 164,264.02 is: 226,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,400.02 : 411,810.69 = 164,264.02 : x
  2. Step 2: Convert to fraction form
    298,400.02/411,810.69 = 164,264.02/x
  3. Step 3: Cross multiply
    298,400.02x = 411,810.69 × 164,264.02
  4. Step 4: Simplify right side
    298,400.02x = 67,645,679,418.37
  5. Step 5: Solve for x
    x = 67,645,679,418.37/298,400.02
  6. Step 6: Final answer
    x = 226,694.62

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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.