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Finding the Fourth Proportional to 285,071.50, 428,160.84 and 209,894.74

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Solution

The fourth proportional to 285,071.50, 428,160.84 and 209,894.74 is: 315,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,071.50 : 428,160.84 = 209,894.74 : x
  2. Step 2: Convert to fraction form
    285,071.50/428,160.84 = 209,894.74/x
  3. Step 3: Cross multiply
    285,071.50x = 428,160.84 × 209,894.74
  4. Step 4: Simplify right side
    285,071.50x = 89,868,708,740.88
  5. Step 5: Solve for x
    x = 89,868,708,740.88/285,071.50
  6. Step 6: Final answer
    x = 315,249.71

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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.