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Finding the Fourth Proportional to 298,395.35, 411,790.82 and 162,433.20

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Solution

The fourth proportional to 298,395.35, 411,790.82 and 162,433.20 is: 224,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,395.35 : 411,790.82 = 162,433.20 : x
  2. Step 2: Convert to fraction form
    298,395.35/411,790.82 = 162,433.20/x
  3. Step 3: Cross multiply
    298,395.35x = 411,790.82 × 162,433.20
  4. Step 4: Simplify right side
    298,395.35x = 66,888,499,811.06
  5. Step 5: Solve for x
    x = 66,888,499,811.06/298,395.35
  6. Step 6: Final answer
    x = 224,160.67

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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.