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Finding the Fourth Proportional to 376,082.21, 563,592.87 and 207,678.35

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Solution

The fourth proportional to 376,082.21, 563,592.87 and 207,678.35 is: 311,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,082.21 : 563,592.87 = 207,678.35 : x
  2. Step 2: Convert to fraction form
    376,082.21/563,592.87 = 207,678.35/x
  3. Step 3: Cross multiply
    376,082.21x = 563,592.87 × 207,678.35
  4. Step 4: Simplify right side
    376,082.21x = 117,046,038,722.35
  5. Step 5: Solve for x
    x = 117,046,038,722.35/376,082.21
  6. Step 6: Final answer
    x = 311,224.61

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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.