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Finding the Fourth Proportional to 313,718.52, 470,670.12 and 114,035.76

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Solution

The fourth proportional to 313,718.52, 470,670.12 and 114,035.76 is: 171,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,718.52 : 470,670.12 = 114,035.76 : x
  2. Step 2: Convert to fraction form
    313,718.52/470,670.12 = 114,035.76/x
  3. Step 3: Cross multiply
    313,718.52x = 470,670.12 × 114,035.76
  4. Step 4: Simplify right side
    313,718.52x = 53,673,224,843.49
  5. Step 5: Solve for x
    x = 53,673,224,843.49/313,718.52
  6. Step 6: Final answer
    x = 171,087.21

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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.