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Finding the Fourth Proportional to 312,595.83, 468,894.89 and 75,938.50

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Solution

The fourth proportional to 312,595.83, 468,894.89 and 75,938.50 is: 113,908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,595.83 : 468,894.89 = 75,938.50 : x
  2. Step 2: Convert to fraction form
    312,595.83/468,894.89 = 75,938.50/x
  3. Step 3: Cross multiply
    312,595.83x = 468,894.89 × 75,938.50
  4. Step 4: Simplify right side
    312,595.83x = 35,607,175,380.23
  5. Step 5: Solve for x
    x = 35,607,175,380.23/312,595.83
  6. Step 6: Final answer
    x = 113,908.03

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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.