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Finding the Fourth Proportional to 305,061.94, 420,843.09 and 191,947.06

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Solution

The fourth proportional to 305,061.94, 420,843.09 and 191,947.06 is: 264,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,061.94 : 420,843.09 = 191,947.06 : x
  2. Step 2: Convert to fraction form
    305,061.94/420,843.09 = 191,947.06/x
  3. Step 3: Cross multiply
    305,061.94x = 420,843.09 × 191,947.06
  4. Step 4: Simplify right side
    305,061.94x = 80,779,593,846.82
  5. Step 5: Solve for x
    x = 80,779,593,846.82/305,061.94
  6. Step 6: Final answer
    x = 264,797.35

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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.