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Finding the Fourth Proportional to 306,034.20, 459,051.30 and 193,841.10

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Solution

The fourth proportional to 306,034.20, 459,051.30 and 193,841.10 is: 290,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,034.20 : 459,051.30 = 193,841.10 : x
  2. Step 2: Convert to fraction form
    306,034.20/459,051.30 = 193,841.10/x
  3. Step 3: Cross multiply
    306,034.20x = 459,051.30 × 193,841.10
  4. Step 4: Simplify right side
    306,034.20x = 88,983,008,948.43
  5. Step 5: Solve for x
    x = 88,983,008,948.43/306,034.20
  6. Step 6: Final answer
    x = 290,761.65

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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.