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Finding the Fourth Proportional to 365,298.84, 547,882.56 and 165,582

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Solution

The fourth proportional to 365,298.84, 547,882.56 and 165,582 is: 248,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,298.84 : 547,882.56 = 165,582 : x
  2. Step 2: Convert to fraction form
    365,298.84/547,882.56 = 165,582/x
  3. Step 3: Cross multiply
    365,298.84x = 547,882.56 × 165,582
  4. Step 4: Simplify right side
    365,298.84x = 90,719,490,049.92
  5. Step 5: Solve for x
    x = 90,719,490,049.92/365,298.84
  6. Step 6: Final answer
    x = 248,343.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.