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Finding the Fourth Proportional to 647,301.60, 970,223.40 and 310,503.60

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Solution

The fourth proportional to 647,301.60, 970,223.40 and 310,503.60 is: 465,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,301.60 : 970,223.40 = 310,503.60 : x
  2. Step 2: Convert to fraction form
    647,301.60/970,223.40 = 310,503.60/x
  3. Step 3: Cross multiply
    647,301.60x = 970,223.40 × 310,503.60
  4. Step 4: Simplify right side
    647,301.60x = 301,257,858,504.24
  5. Step 5: Solve for x
    x = 301,257,858,504.24/647,301.60
  6. Step 6: Final answer
    x = 465,405.71

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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.