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Finding the Fourth Proportional to 296,322.27, 408,923.16 and 160,356.14

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Solution

The fourth proportional to 296,322.27, 408,923.16 and 160,356.14 is: 221,290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,322.27 : 408,923.16 = 160,356.14 : x
  2. Step 2: Convert to fraction form
    296,322.27/408,923.16 = 160,356.14/x
  3. Step 3: Cross multiply
    296,322.27x = 408,923.16 × 160,356.14
  4. Step 4: Simplify right side
    296,322.27x = 65,573,336,647.81
  5. Step 5: Solve for x
    x = 65,573,336,647.81/296,322.27
  6. Step 6: Final answer
    x = 221,290.62

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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.