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Finding the Fourth Proportional to 314,027.82, 470,970.45 and 89,383.50

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Solution

The fourth proportional to 314,027.82, 470,970.45 and 89,383.50 is: 134,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,027.82 : 470,970.45 = 89,383.50 : x
  2. Step 2: Convert to fraction form
    314,027.82/470,970.45 = 89,383.50/x
  3. Step 3: Cross multiply
    314,027.82x = 470,970.45 × 89,383.50
  4. Step 4: Simplify right side
    314,027.82x = 42,096,987,217.58
  5. Step 5: Solve for x
    x = 42,096,987,217.58/314,027.82
  6. Step 6: Final answer
    x = 134,054.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.