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Finding the Fourth Proportional to 320,282.32, 480,430.68 and 109,922

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Solution

The fourth proportional to 320,282.32, 480,430.68 and 109,922 is: 164,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,282.32 : 480,430.68 = 109,922 : x
  2. Step 2: Convert to fraction form
    320,282.32/480,430.68 = 109,922/x
  3. Step 3: Cross multiply
    320,282.32x = 480,430.68 × 109,922
  4. Step 4: Simplify right side
    320,282.32x = 52,809,901,206.96
  5. Step 5: Solve for x
    x = 52,809,901,206.96/320,282.32
  6. Step 6: Final answer
    x = 164,885.47

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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.