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Finding the Fourth Proportional to 384,154.56, 530,163.32 and 214,414.20

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Solution

The fourth proportional to 384,154.56, 530,163.32 and 214,414.20 is: 295,908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,154.56 : 530,163.32 = 214,414.20 : x
  2. Step 2: Convert to fraction form
    384,154.56/530,163.32 = 214,414.20/x
  3. Step 3: Cross multiply
    384,154.56x = 530,163.32 × 214,414.20
  4. Step 4: Simplify right side
    384,154.56x = 113,674,544,127.14
  5. Step 5: Solve for x
    x = 113,674,544,127.14/384,154.56
  6. Step 6: Final answer
    x = 295,908.36

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1.5x scale

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.