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Finding the Fourth Proportional to 357,327.56, 493,015.80 and 204,334.24

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Solution

The fourth proportional to 357,327.56, 493,015.80 and 204,334.24 is: 281,926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,327.56 : 493,015.80 = 204,334.24 : x
  2. Step 2: Convert to fraction form
    357,327.56/493,015.80 = 204,334.24/x
  3. Step 3: Cross multiply
    357,327.56x = 493,015.80 × 204,334.24
  4. Step 4: Simplify right side
    357,327.56x = 100,740,008,800.99
  5. Step 5: Solve for x
    x = 100,740,008,800.99/357,327.56
  6. Step 6: Final answer
    x = 281,926.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.