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Finding the Fourth Proportional to 298,034.50, 447,052.83 and 283,085.14

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Solution

The fourth proportional to 298,034.50, 447,052.83 and 283,085.14 is: 424,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,034.50 : 447,052.83 = 283,085.14 : x
  2. Step 2: Convert to fraction form
    298,034.50/447,052.83 = 283,085.14/x
  3. Step 3: Cross multiply
    298,034.50x = 447,052.83 × 283,085.14
  4. Step 4: Simplify right side
    298,034.50x = 126,554,012,967.95
  5. Step 5: Solve for x
    x = 126,554,012,967.95/298,034.50
  6. Step 6: Final answer
    x = 424,628.74

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Why These Related Problems?

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