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Finding the Fourth Proportional to 384,164.56, 530,177.12 and 214,424.16

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Solution

The fourth proportional to 384,164.56, 530,177.12 and 214,424.16 is: 295,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,164.56 : 530,177.12 = 214,424.16 : x
  2. Step 2: Convert to fraction form
    384,164.56/530,177.12 = 214,424.16/x
  3. Step 3: Cross multiply
    384,164.56x = 530,177.12 × 214,424.16
  4. Step 4: Simplify right side
    384,164.56x = 113,682,783,607.22
  5. Step 5: Solve for x
    x = 113,682,783,607.22/384,164.56
  6. Step 6: Final answer
    x = 295,922.10

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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.