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Finding the Fourth Proportional to 313,715.61, 470,365.38 and 114,012.27

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Solution

The fourth proportional to 313,715.61, 470,365.38 and 114,012.27 is: 170,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,715.61 : 470,365.38 = 114,012.27 : x
  2. Step 2: Convert to fraction form
    313,715.61/470,365.38 = 114,012.27/x
  3. Step 3: Cross multiply
    313,715.61x = 470,365.38 × 114,012.27
  4. Step 4: Simplify right side
    313,715.61x = 53,627,424,703.21
  5. Step 5: Solve for x
    x = 53,627,424,703.21/313,715.61
  6. Step 6: Final answer
    x = 170,942.80

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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.