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Finding the Fourth Proportional to 298,288.52, 411,637.42 and 162,322.44

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Solution

The fourth proportional to 298,288.52, 411,637.42 and 162,322.44 is: 224,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,288.52 : 411,637.42 = 162,322.44 : x
  2. Step 2: Convert to fraction form
    298,288.52/411,637.42 = 162,322.44/x
  3. Step 3: Cross multiply
    298,288.52x = 411,637.42 × 162,322.44
  4. Step 4: Simplify right side
    298,288.52x = 66,817,990,409.70
  5. Step 5: Solve for x
    x = 66,817,990,409.70/298,288.52
  6. Step 6: Final answer
    x = 224,004.57

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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.