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Finding the Fourth Proportional to 312,553.48, 468,828.16 and 75,894.56

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Solution

The fourth proportional to 312,553.48, 468,828.16 and 75,894.56 is: 113,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,553.48 : 468,828.16 = 75,894.56 : x
  2. Step 2: Convert to fraction form
    312,553.48/468,828.16 = 75,894.56/x
  3. Step 3: Cross multiply
    312,553.48x = 468,828.16 × 75,894.56
  4. Step 4: Simplify right side
    312,553.48x = 35,581,506,918.81
  5. Step 5: Solve for x
    x = 35,581,506,918.81/312,553.48
  6. Step 6: Final answer
    x = 113,841.34

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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.