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Finding the Fourth Proportional to 384,190.96, 530,233.68 and 214,460.32

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Solution

The fourth proportional to 384,190.96, 530,233.68 and 214,460.32 is: 295,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,190.96 : 530,233.68 = 214,460.32 : x
  2. Step 2: Convert to fraction form
    384,190.96/530,233.68 = 214,460.32/x
  3. Step 3: Cross multiply
    384,190.96x = 530,233.68 × 214,460.32
  4. Step 4: Simplify right side
    384,190.96x = 113,714,084,687.58
  5. Step 5: Solve for x
    x = 113,714,084,687.58/384,190.96
  6. Step 6: Final answer
    x = 295,983.24

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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.