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Finding the Fourth Proportional to 280,488.96, 420,421.76 and 213,708.88

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Solution

The fourth proportional to 280,488.96, 420,421.76 and 213,708.88 is: 320,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,488.96 : 420,421.76 = 213,708.88 : x
  2. Step 2: Convert to fraction form
    280,488.96/420,421.76 = 213,708.88/x
  3. Step 3: Cross multiply
    280,488.96x = 420,421.76 × 213,708.88
  4. Step 4: Simplify right side
    280,488.96x = 89,847,863,457.23
  5. Step 5: Solve for x
    x = 89,847,863,457.23/280,488.96
  6. Step 6: Final answer
    x = 320,325.85

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