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Finding the Fourth Proportional to 322,689.83, 484,034.18 and 153,697.59

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Solution

The fourth proportional to 322,689.83, 484,034.18 and 153,697.59 is: 230,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,689.83 : 484,034.18 = 153,697.59 : x
  2. Step 2: Convert to fraction form
    322,689.83/484,034.18 = 153,697.59/x
  3. Step 3: Cross multiply
    322,689.83x = 484,034.18 × 153,697.59
  4. Step 4: Simplify right side
    322,689.83x = 74,394,886,175.14
  5. Step 5: Solve for x
    x = 74,394,886,175.14/322,689.83
  6. Step 6: Final answer
    x = 230,546.12

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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.