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Finding the Fourth Proportional to 313,372.69, 470,059.16 and 171,140.18

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Solution

The fourth proportional to 313,372.69, 470,059.16 and 171,140.18 is: 256,710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,372.69 : 470,059.16 = 171,140.18 : x
  2. Step 2: Convert to fraction form
    313,372.69/470,059.16 = 171,140.18/x
  3. Step 3: Cross multiply
    313,372.69x = 470,059.16 × 171,140.18
  4. Step 4: Simplify right side
    313,372.69x = 80,446,006,047.05
  5. Step 5: Solve for x
    x = 80,446,006,047.05/313,372.69
  6. Step 6: Final answer
    x = 256,710.33

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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.