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Finding the Fourth Proportional to 643,486.91, 965,236.75 and 194,211.50

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Solution

The fourth proportional to 643,486.91, 965,236.75 and 194,211.50 is: 291,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,486.91 : 965,236.75 = 194,211.50 : x
  2. Step 2: Convert to fraction form
    643,486.91/965,236.75 = 194,211.50/x
  3. Step 3: Cross multiply
    643,486.91x = 965,236.75 × 194,211.50
  4. Step 4: Simplify right side
    643,486.91x = 187,460,071,760.91
  5. Step 5: Solve for x
    x = 187,460,071,760.91/643,486.91
  6. Step 6: Final answer
    x = 291,319.17

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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.