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Finding the Fourth Proportional to 613,984.56, 847,299.22 and 342,053.14

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Solution

The fourth proportional to 613,984.56, 847,299.22 and 342,053.14 is: 472,033.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,984.56 : 847,299.22 = 342,053.14 : x
  2. Step 2: Convert to fraction form
    613,984.56/847,299.22 = 342,053.14/x
  3. Step 3: Cross multiply
    613,984.56x = 847,299.22 × 342,053.14
  4. Step 4: Simplify right side
    613,984.56x = 289,821,358,720.55
  5. Step 5: Solve for x
    x = 289,821,358,720.55/613,984.56
  6. Step 6: Final answer
    x = 472,033.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.