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Finding the Fourth Proportional to 295,690.94, 408,053.66 and 159,724.88

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Solution

The fourth proportional to 295,690.94, 408,053.66 and 159,724.88 is: 220,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,690.94 : 408,053.66 = 159,724.88 : x
  2. Step 2: Convert to fraction form
    295,690.94/408,053.66 = 159,724.88/x
  3. Step 3: Cross multiply
    295,690.94x = 408,053.66 × 159,724.88
  4. Step 4: Simplify right side
    295,690.94x = 65,176,321,877.06
  5. Step 5: Solve for x
    x = 65,176,321,877.06/295,690.94
  6. Step 6: Final answer
    x = 220,420.42

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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.