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Finding the Fourth Proportional to 313,682.74, 470,523.16 and 89,043.36

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Solution

The fourth proportional to 313,682.74, 470,523.16 and 89,043.36 is: 133,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,682.74 : 470,523.16 = 89,043.36 : x
  2. Step 2: Convert to fraction form
    313,682.74/470,523.16 = 89,043.36/x
  3. Step 3: Cross multiply
    313,682.74x = 470,523.16 × 89,043.36
  4. Step 4: Simplify right side
    313,682.74x = 41,896,963,124.22
  5. Step 5: Solve for x
    x = 41,896,963,124.22/313,682.74
  6. Step 6: Final answer
    x = 133,564.77

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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.