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Finding the Fourth Proportional to 298,445.32, 411,842.10 and 164,300.68

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Solution

The fourth proportional to 298,445.32, 411,842.10 and 164,300.68 is: 226,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,445.32 : 411,842.10 = 164,300.68 : x
  2. Step 2: Convert to fraction form
    298,445.32/411,842.10 = 164,300.68/x
  3. Step 3: Cross multiply
    298,445.32x = 411,842.10 × 164,300.68
  4. Step 4: Simplify right side
    298,445.32x = 67,665,937,082.63
  5. Step 5: Solve for x
    x = 67,665,937,082.63/298,445.32
  6. Step 6: Final answer
    x = 226,728.09

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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.