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Finding the Fourth Proportional to 305,417.38, 421,461.71 and 169,449.88

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Solution

The fourth proportional to 305,417.38, 421,461.71 and 169,449.88 is: 233,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,417.38 : 421,461.71 = 169,449.88 : x
  2. Step 2: Convert to fraction form
    305,417.38/421,461.71 = 169,449.88/x
  3. Step 3: Cross multiply
    305,417.38x = 421,461.71 × 169,449.88
  4. Step 4: Simplify right side
    305,417.38x = 71,416,635,336.85
  5. Step 5: Solve for x
    x = 71,416,635,336.85/305,417.38
  6. Step 6: Final answer
    x = 233,832.91

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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.