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Finding the Fourth Proportional to 364,626.63, 546,998.40 and 154,266.39

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Solution

The fourth proportional to 364,626.63, 546,998.40 and 154,266.39 is: 231,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,626.63 : 546,998.40 = 154,266.39 : x
  2. Step 2: Convert to fraction form
    364,626.63/546,998.40 = 154,266.39/x
  3. Step 3: Cross multiply
    364,626.63x = 546,998.40 × 154,266.39
  4. Step 4: Simplify right side
    364,626.63x = 84,383,468,503.78
  5. Step 5: Solve for x
    x = 84,383,468,503.78/364,626.63
  6. Step 6: Final answer
    x = 231,424.32

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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.