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Finding the Fourth Proportional to 384,697.08, 530,872.14 and 214,932.28

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Solution

The fourth proportional to 384,697.08, 530,872.14 and 214,932.28 is: 296,601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,697.08 : 530,872.14 = 214,932.28 : x
  2. Step 2: Convert to fraction form
    384,697.08/530,872.14 = 214,932.28/x
  3. Step 3: Cross multiply
    384,697.08x = 530,872.14 × 214,932.28
  4. Step 4: Simplify right side
    384,697.08x = 114,101,559,438.68
  5. Step 5: Solve for x
    x = 114,101,559,438.68/384,697.08
  6. Step 6: Final answer
    x = 296,601.05

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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.