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Finding the Fourth Proportional to 296,015.21, 408,500.16 and 160,048.20

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Solution

The fourth proportional to 296,015.21, 408,500.16 and 160,048.20 is: 220,866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,015.21 : 408,500.16 = 160,048.20 : x
  2. Step 2: Convert to fraction form
    296,015.21/408,500.16 = 160,048.20/x
  3. Step 3: Cross multiply
    296,015.21x = 408,500.16 × 160,048.20
  4. Step 4: Simplify right side
    296,015.21x = 65,379,717,139.68
  5. Step 5: Solve for x
    x = 65,379,717,139.68/296,015.21
  6. Step 6: Final answer
    x = 220,866.07

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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.