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Finding the Fourth Proportional to 280,132.84, 419,279.10 and 213,211.72

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Solution

The fourth proportional to 280,132.84, 419,279.10 and 213,211.72 is: 319,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,132.84 : 419,279.10 = 213,211.72 : x
  2. Step 2: Convert to fraction form
    280,132.84/419,279.10 = 213,211.72/x
  3. Step 3: Cross multiply
    280,132.84x = 419,279.10 × 213,211.72
  4. Step 4: Simplify right side
    280,132.84x = 89,395,218,071.05
  5. Step 5: Solve for x
    x = 89,395,218,071.05/280,132.84
  6. Step 6: Final answer
    x = 319,117.24

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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.