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Finding the Fourth Proportional to 402,754.11, 604,099.40 and 234,166.88

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Solution

The fourth proportional to 402,754.11, 604,099.40 and 234,166.88 is: 351,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,754.11 : 604,099.40 = 234,166.88 : x
  2. Step 2: Convert to fraction form
    402,754.11/604,099.40 = 234,166.88/x
  3. Step 3: Cross multiply
    402,754.11x = 604,099.40 × 234,166.88
  4. Step 4: Simplify right side
    402,754.11x = 141,460,067,516.54
  5. Step 5: Solve for x
    x = 141,460,067,516.54/402,754.11
  6. Step 6: Final answer
    x = 351,231.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.