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Finding the Fourth Proportional to 685,441.87, 945,611.99 and 413,358.57

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Solution

The fourth proportional to 685,441.87, 945,611.99 and 413,358.57 is: 570,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,441.87 : 945,611.99 = 413,358.57 : x
  2. Step 2: Convert to fraction form
    685,441.87/945,611.99 = 413,358.57/x
  3. Step 3: Cross multiply
    685,441.87x = 945,611.99 × 413,358.57
  4. Step 4: Simplify right side
    685,441.87x = 390,876,819,444.56
  5. Step 5: Solve for x
    x = 390,876,819,444.56/685,441.87
  6. Step 6: Final answer
    x = 570,255.24

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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.