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Finding the Fourth Proportional to 313,773.78, 470,717.10 and 114,373.92

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Solution

The fourth proportional to 313,773.78, 470,717.10 and 114,373.92 is: 171,581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,773.78 : 470,717.10 = 114,373.92 : x
  2. Step 2: Convert to fraction form
    313,773.78/470,717.10 = 114,373.92/x
  3. Step 3: Cross multiply
    313,773.78x = 470,717.10 × 114,373.92
  4. Step 4: Simplify right side
    313,773.78x = 53,837,759,938.03
  5. Step 5: Solve for x
    x = 53,837,759,938.03/313,773.78
  6. Step 6: Final answer
    x = 171,581.45

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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.