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Finding the Fourth Proportional to 330,849.68, 456,378 and 208,146.88

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Solution

The fourth proportional to 330,849.68, 456,378 and 208,146.88 is: 287,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,849.68 : 456,378 = 208,146.88 : x
  2. Step 2: Convert to fraction form
    330,849.68/456,378 = 208,146.88/x
  3. Step 3: Cross multiply
    330,849.68x = 456,378 × 208,146.88
  4. Step 4: Simplify right side
    330,849.68x = 94,993,656,800.64
  5. Step 5: Solve for x
    x = 94,993,656,800.64/330,849.68
  6. Step 6: Final answer
    x = 287,120.29

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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.