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Finding the Fourth Proportional to 289,599.84, 399,647.52 and 160,546.56

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Solution

The fourth proportional to 289,599.84, 399,647.52 and 160,546.56 is: 221,554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,599.84 : 399,647.52 = 160,546.56 : x
  2. Step 2: Convert to fraction form
    289,599.84/399,647.52 = 160,546.56/x
  3. Step 3: Cross multiply
    289,599.84x = 399,647.52 × 160,546.56
  4. Step 4: Simplify right side
    289,599.84x = 64,162,034,548.53
  5. Step 5: Solve for x
    x = 64,162,034,548.53/289,599.84
  6. Step 6: Final answer
    x = 221,554.11

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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.