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Finding the Fourth Proportional to 306,733, 460,173.34 and 96,370.86

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Solution

The fourth proportional to 306,733, 460,173.34 and 96,370.86 is: 144,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,733 : 460,173.34 = 96,370.86 : x
  2. Step 2: Convert to fraction form
    306,733/460,173.34 = 96,370.86/x
  3. Step 3: Cross multiply
    306,733x = 460,173.34 × 96,370.86
  4. Step 4: Simplify right side
    306,733x = 44,347,300,524.87
  5. Step 5: Solve for x
    x = 44,347,300,524.87/306,733
  6. Step 6: Final answer
    x = 144,579.49

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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.