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Finding the Fourth Proportional to 427,409.20, 641,113.80 and 407,726.20

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Solution

The fourth proportional to 427,409.20, 641,113.80 and 407,726.20 is: 611,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,409.20 : 641,113.80 = 407,726.20 : x
  2. Step 2: Convert to fraction form
    427,409.20/641,113.80 = 407,726.20/x
  3. Step 3: Cross multiply
    427,409.20x = 641,113.80 × 407,726.20
  4. Step 4: Simplify right side
    427,409.20x = 261,398,893,441.56
  5. Step 5: Solve for x
    x = 261,398,893,441.56/427,409.20
  6. Step 6: Final answer
    x = 611,589.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.