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Finding the Fourth Proportional to 330,466.16, 456,046.10 and 179,563.16

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Solution

The fourth proportional to 330,466.16, 456,046.10 and 179,563.16 is: 247,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,466.16 : 456,046.10 = 179,563.16 : x
  2. Step 2: Convert to fraction form
    330,466.16/456,046.10 = 179,563.16/x
  3. Step 3: Cross multiply
    330,466.16x = 456,046.10 × 179,563.16
  4. Step 4: Simplify right side
    330,466.16x = 81,889,078,821.68
  5. Step 5: Solve for x
    x = 81,889,078,821.68/330,466.16
  6. Step 6: Final answer
    x = 247,798.68

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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.