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Finding the Fourth Proportional to 384,697.26, 530,882.40 and 214,931.40

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Solution

The fourth proportional to 384,697.26, 530,882.40 and 214,931.40 is: 296,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,697.26 : 530,882.40 = 214,931.40 : x
  2. Step 2: Convert to fraction form
    384,697.26/530,882.40 = 214,931.40/x
  3. Step 3: Cross multiply
    384,697.26x = 530,882.40 × 214,931.40
  4. Step 4: Simplify right side
    384,697.26x = 114,103,297,467.36
  5. Step 5: Solve for x
    x = 114,103,297,467.36/384,697.26
  6. Step 6: Final answer
    x = 296,605.43

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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.