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Finding the Fourth Proportional to 384,274.52, 530,297.52 and 214,507.16

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Solution

The fourth proportional to 384,274.52, 530,297.52 and 214,507.16 is: 296,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,274.52 : 530,297.52 = 214,507.16 : x
  2. Step 2: Convert to fraction form
    384,274.52/530,297.52 = 214,507.16/x
  3. Step 3: Cross multiply
    384,274.52x = 530,297.52 × 214,507.16
  4. Step 4: Simplify right side
    384,274.52x = 113,752,614,970.24
  5. Step 5: Solve for x
    x = 113,752,614,970.24/384,274.52
  6. Step 6: Final answer
    x = 296,019.15

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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.