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Finding the Fourth Proportional to 298,800.16, 412,344.29 and 162,834.14

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Solution

The fourth proportional to 298,800.16, 412,344.29 and 162,834.14 is: 224,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,800.16 : 412,344.29 = 162,834.14 : x
  2. Step 2: Convert to fraction form
    298,800.16/412,344.29 = 162,834.14/x
  3. Step 3: Cross multiply
    298,800.16x = 412,344.29 × 162,834.14
  4. Step 4: Simplify right side
    298,800.16x = 67,143,729,284.01
  5. Step 5: Solve for x
    x = 67,143,729,284.01/298,800.16
  6. Step 6: Final answer
    x = 224,711.16

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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.