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Finding the Fourth Proportional to 230,457.44, 345,683.76 and 64,244.96

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Solution

The fourth proportional to 230,457.44, 345,683.76 and 64,244.96 is: 96,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,457.44 : 345,683.76 = 64,244.96 : x
  2. Step 2: Convert to fraction form
    230,457.44/345,683.76 = 64,244.96/x
  3. Step 3: Cross multiply
    230,457.44x = 345,683.76 × 64,244.96
  4. Step 4: Simplify right side
    230,457.44x = 22,208,439,333.85
  5. Step 5: Solve for x
    x = 22,208,439,333.85/230,457.44
  6. Step 6: Final answer
    x = 96,366.77

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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.