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Finding the Fourth Proportional to 412,154.24, 618,450.24 and 162,838.40

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Solution

The fourth proportional to 412,154.24, 618,450.24 and 162,838.40 is: 244,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,154.24 : 618,450.24 = 162,838.40 : x
  2. Step 2: Convert to fraction form
    412,154.24/618,450.24 = 162,838.40/x
  3. Step 3: Cross multiply
    412,154.24x = 618,450.24 × 162,838.40
  4. Step 4: Simplify right side
    412,154.24x = 100,707,447,561.22
  5. Step 5: Solve for x
    x = 100,707,447,561.22/412,154.24
  6. Step 6: Final answer
    x = 244,344.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.