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Finding the Fourth Proportional to 275,010.96, 412,457.04 and 97,523.76

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Solution

The fourth proportional to 275,010.96, 412,457.04 and 97,523.76 is: 146,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,010.96 : 412,457.04 = 97,523.76 : x
  2. Step 2: Convert to fraction form
    275,010.96/412,457.04 = 97,523.76/x
  3. Step 3: Cross multiply
    275,010.96x = 412,457.04 × 97,523.76
  4. Step 4: Simplify right side
    275,010.96x = 40,224,361,379.27
  5. Step 5: Solve for x
    x = 40,224,361,379.27/275,010.96
  6. Step 6: Final answer
    x = 146,264.58

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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.