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Finding the Fourth Proportional to 313,953.32, 470,653.49 and 124,546.71

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Solution

The fourth proportional to 313,953.32, 470,653.49 and 124,546.71 is: 186,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,953.32 : 470,653.49 = 124,546.71 : x
  2. Step 2: Convert to fraction form
    313,953.32/470,653.49 = 124,546.71/x
  3. Step 3: Cross multiply
    313,953.32x = 470,653.49 × 124,546.71
  4. Step 4: Simplify right side
    313,953.32x = 58,618,345,105.26
  5. Step 5: Solve for x
    x = 58,618,345,105.26/313,953.32
  6. Step 6: Final answer
    x = 186,710.39

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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.