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Finding the Fourth Proportional to 312,628.72, 468,941.50 and 75,972.08

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Solution

The fourth proportional to 312,628.72, 468,941.50 and 75,972.08 is: 113,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,628.72 : 468,941.50 = 75,972.08 : x
  2. Step 2: Convert to fraction form
    312,628.72/468,941.50 = 75,972.08/x
  3. Step 3: Cross multiply
    312,628.72x = 468,941.50 × 75,972.08
  4. Step 4: Simplify right side
    312,628.72x = 35,626,461,153.32
  5. Step 5: Solve for x
    x = 35,626,461,153.32/312,628.72
  6. Step 6: Final answer
    x = 113,957.74

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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.