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Finding the Fourth Proportional to 296,303.83, 408,896.43 and 160,334.80

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Solution

The fourth proportional to 296,303.83, 408,896.43 and 160,334.80 is: 221,260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,303.83 : 408,896.43 = 160,334.80 : x
  2. Step 2: Convert to fraction form
    296,303.83/408,896.43 = 160,334.80/x
  3. Step 3: Cross multiply
    296,303.83x = 408,896.43 × 160,334.80
  4. Step 4: Simplify right side
    296,303.83x = 65,560,325,280.28
  5. Step 5: Solve for x
    x = 65,560,325,280.28/296,303.83
  6. Step 6: Final answer
    x = 221,260.48

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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.