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Finding the Fourth Proportional to 330,970, 456,738.60 and 180,068.08

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Solution

The fourth proportional to 330,970, 456,738.60 and 180,068.08 is: 248,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,970 : 456,738.60 = 180,068.08 : x
  2. Step 2: Convert to fraction form
    330,970/456,738.60 = 180,068.08/x
  3. Step 3: Cross multiply
    330,970x = 456,738.60 × 180,068.08
  4. Step 4: Simplify right side
    330,970x = 82,244,042,763.89
  5. Step 5: Solve for x
    x = 82,244,042,763.89/330,970
  6. Step 6: Final answer
    x = 248,493.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.