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Finding the Fourth Proportional to 362,197.42, 499,878.49 and 218,957.12

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Solution

The fourth proportional to 362,197.42, 499,878.49 and 218,957.12 is: 302,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,197.42 : 499,878.49 = 218,957.12 : x
  2. Step 2: Convert to fraction form
    362,197.42/499,878.49 = 218,957.12/x
  3. Step 3: Cross multiply
    362,197.42x = 499,878.49 × 218,957.12
  4. Step 4: Simplify right side
    362,197.42x = 109,451,956,570.47
  5. Step 5: Solve for x
    x = 109,451,956,570.47/362,197.42
  6. Step 6: Final answer
    x = 302,188.67

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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.