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Finding the Fourth Proportional to 298,442.02, 411,849.93 and 164,306.02

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Solution

The fourth proportional to 298,442.02, 411,849.93 and 164,306.02 is: 226,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,442.02 : 411,849.93 = 164,306.02 : x
  2. Step 2: Convert to fraction form
    298,442.02/411,849.93 = 164,306.02/x
  3. Step 3: Cross multiply
    298,442.02x = 411,849.93 × 164,306.02
  4. Step 4: Simplify right side
    298,442.02x = 67,669,422,835.58
  5. Step 5: Solve for x
    x = 67,669,422,835.58/298,442.02
  6. Step 6: Final answer
    x = 226,742.28

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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.