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Finding the Fourth Proportional to 469,074.48, 647,323.26 and 254,214.48

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Solution

The fourth proportional to 469,074.48, 647,323.26 and 254,214.48 is: 350,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,074.48 : 647,323.26 = 254,214.48 : x
  2. Step 2: Convert to fraction form
    469,074.48/647,323.26 = 254,214.48/x
  3. Step 3: Cross multiply
    469,074.48x = 647,323.26 × 254,214.48
  4. Step 4: Simplify right side
    469,074.48x = 164,558,945,932.81
  5. Step 5: Solve for x
    x = 164,558,945,932.81/469,074.48
  6. Step 6: Final answer
    x = 350,816.24

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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.