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Finding the Fourth Proportional to 650,523.41, 975,223.88 and 313,099.89

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Solution

The fourth proportional to 650,523.41, 975,223.88 and 313,099.89 is: 469,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,523.41 : 975,223.88 = 313,099.89 : x
  2. Step 2: Convert to fraction form
    650,523.41/975,223.88 = 313,099.89/x
  3. Step 3: Cross multiply
    650,523.41x = 975,223.88 × 313,099.89
  4. Step 4: Simplify right side
    650,523.41x = 305,342,489,553.37
  5. Step 5: Solve for x
    x = 305,342,489,553.37/650,523.41
  6. Step 6: Final answer
    x = 469,379.71

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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.