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Finding the Fourth Proportional to 471,025.80, 650,009.30 and 256,161.24

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Solution

The fourth proportional to 471,025.80, 650,009.30 and 256,161.24 is: 353,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,025.80 : 650,009.30 = 256,161.24 : x
  2. Step 2: Convert to fraction form
    471,025.80/650,009.30 = 256,161.24/x
  3. Step 3: Cross multiply
    471,025.80x = 650,009.30 × 256,161.24
  4. Step 4: Simplify right side
    471,025.80x = 166,507,188,299.53
  5. Step 5: Solve for x
    x = 166,507,188,299.53/471,025.80
  6. Step 6: Final answer
    x = 353,499.08

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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.