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Finding the Fourth Proportional to 442,198.32, 610,165.34 and 248,570.15

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Solution

The fourth proportional to 442,198.32, 610,165.34 and 248,570.15 is: 342,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,198.32 : 610,165.34 = 248,570.15 : x
  2. Step 2: Convert to fraction form
    442,198.32/610,165.34 = 248,570.15/x
  3. Step 3: Cross multiply
    442,198.32x = 610,165.34 × 248,570.15
  4. Step 4: Simplify right side
    442,198.32x = 151,668,886,727.06
  5. Step 5: Solve for x
    x = 151,668,886,727.06/442,198.32
  6. Step 6: Final answer
    x = 342,988.39

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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.