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Finding the Fourth Proportional to 313,552.69, 470,407.16 and 91,936.69

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Solution

The fourth proportional to 313,552.69, 470,407.16 and 91,936.69 is: 137,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,552.69 : 470,407.16 = 91,936.69 : x
  2. Step 2: Convert to fraction form
    313,552.69/470,407.16 = 91,936.69/x
  3. Step 3: Cross multiply
    313,552.69x = 470,407.16 × 91,936.69
  4. Step 4: Simplify right side
    313,552.69x = 43,247,676,296.52
  5. Step 5: Solve for x
    x = 43,247,676,296.52/313,552.69
  6. Step 6: Final answer
    x = 137,927.94

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1.5x scale

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.