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Finding the Fourth Proportional to 500,954.44, 749,657.86 and 311,504.02

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Solution

The fourth proportional to 500,954.44, 749,657.86 and 311,504.02 is: 466,153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,954.44 : 749,657.86 = 311,504.02 : x
  2. Step 2: Convert to fraction form
    500,954.44/749,657.86 = 311,504.02/x
  3. Step 3: Cross multiply
    500,954.44x = 749,657.86 × 311,504.02
  4. Step 4: Simplify right side
    500,954.44x = 233,521,437,014.60
  5. Step 5: Solve for x
    x = 233,521,437,014.60/500,954.44
  6. Step 6: Final answer
    x = 466,153.04

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Why These Related Problems?

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