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Finding the Fourth Proportional to 296,291.87, 408,879.81 and 160,322.84

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Solution

The fourth proportional to 296,291.87, 408,879.81 and 160,322.84 is: 221,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,291.87 : 408,879.81 = 160,322.84 : x
  2. Step 2: Convert to fraction form
    296,291.87/408,879.81 = 160,322.84/x
  3. Step 3: Cross multiply
    296,291.87x = 408,879.81 × 160,322.84
  4. Step 4: Simplify right side
    296,291.87x = 65,552,772,357.86
  5. Step 5: Solve for x
    x = 65,552,772,357.86/296,291.87
  6. Step 6: Final answer
    x = 221,243.91

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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.