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Finding the Fourth Proportional to 600,062.54, 827,696.12 and 384,861.74

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Solution

The fourth proportional to 600,062.54, 827,696.12 and 384,861.74 is: 530,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,062.54 : 827,696.12 = 384,861.74 : x
  2. Step 2: Convert to fraction form
    600,062.54/827,696.12 = 384,861.74/x
  3. Step 3: Cross multiply
    600,062.54x = 827,696.12 × 384,861.74
  4. Step 4: Simplify right side
    600,062.54x = 318,548,562,871.66
  5. Step 5: Solve for x
    x = 318,548,562,871.66/600,062.54
  6. Step 6: Final answer
    x = 530,858.94

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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.