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Finding the Fourth Proportional to 614,505, 921,757.50 and 193,813.68

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Solution

The fourth proportional to 614,505, 921,757.50 and 193,813.68 is: 290,720.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,505 : 921,757.50 = 193,813.68 : x
  2. Step 2: Convert to fraction form
    614,505/921,757.50 = 193,813.68/x
  3. Step 3: Cross multiply
    614,505x = 921,757.50 × 193,813.68
  4. Step 4: Simplify right side
    614,505x = 178,649,213,142.60
  5. Step 5: Solve for x
    x = 178,649,213,142.60/614,505
  6. Step 6: Final answer
    x = 290,720.52

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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.