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Finding the Fourth Proportional to 384,742.98, 530,944.20 and 214,977.24

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Solution

The fourth proportional to 384,742.98, 530,944.20 and 214,977.24 is: 296,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,742.98 : 530,944.20 = 214,977.24 : x
  2. Step 2: Convert to fraction form
    384,742.98/530,944.20 = 214,977.24/x
  3. Step 3: Cross multiply
    384,742.98x = 530,944.20 × 214,977.24
  4. Step 4: Simplify right side
    384,742.98x = 114,140,918,710.01
  5. Step 5: Solve for x
    x = 114,140,918,710.01/384,742.98
  6. Step 6: Final answer
    x = 296,667.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.