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Finding the Fourth Proportional to 313,715.43, 470,572.54 and 89,077.93

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Solution

The fourth proportional to 313,715.43, 470,572.54 and 89,077.93 is: 133,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,715.43 : 470,572.54 = 89,077.93 : x
  2. Step 2: Convert to fraction form
    313,715.43/470,572.54 = 89,077.93/x
  3. Step 3: Cross multiply
    313,715.43x = 470,572.54 × 89,077.93
  4. Step 4: Simplify right side
    313,715.43x = 41,917,626,378.92
  5. Step 5: Solve for x
    x = 41,917,626,378.92/313,715.43
  6. Step 6: Final answer
    x = 133,616.72

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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.