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Finding the Fourth Proportional to 384,232.56, 530,248.92 and 214,473.84

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Solution

The fourth proportional to 384,232.56, 530,248.92 and 214,473.84 is: 295,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,232.56 : 530,248.92 = 214,473.84 : x
  2. Step 2: Convert to fraction form
    384,232.56/530,248.92 = 214,473.84/x
  3. Step 3: Cross multiply
    384,232.56x = 530,248.92 × 214,473.84
  4. Step 4: Simplify right side
    384,232.56x = 113,724,522,028.25
  5. Step 5: Solve for x
    x = 113,724,522,028.25/384,232.56
  6. Step 6: Final answer
    x = 295,978.36

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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.