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Finding the Fourth Proportional to 419,028.64, 578,234.32 and 235,253.68

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Solution

The fourth proportional to 419,028.64, 578,234.32 and 235,253.68 is: 324,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,028.64 : 578,234.32 = 235,253.68 : x
  2. Step 2: Convert to fraction form
    419,028.64/578,234.32 = 235,253.68/x
  3. Step 3: Cross multiply
    419,028.64x = 578,234.32 × 235,253.68
  4. Step 4: Simplify right side
    419,028.64x = 136,031,751,682.30
  5. Step 5: Solve for x
    x = 136,031,751,682.30/419,028.64
  6. Step 6: Final answer
    x = 324,635.93

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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.