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Finding the Fourth Proportional to 419,698.26, 579,041.46 and 256,295.14

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Solution

The fourth proportional to 419,698.26, 579,041.46 and 256,295.14 is: 353,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,698.26 : 579,041.46 = 256,295.14 : x
  2. Step 2: Convert to fraction form
    419,698.26/579,041.46 = 256,295.14/x
  3. Step 3: Cross multiply
    419,698.26x = 579,041.46 × 256,295.14
  4. Step 4: Simplify right side
    419,698.26x = 148,405,510,608.90
  5. Step 5: Solve for x
    x = 148,405,510,608.90/419,698.26
  6. Step 6: Final answer
    x = 353,600.49

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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.