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Finding the Fourth Proportional to 298,384.59, 447,756.56 and 108,861.60

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Solution

The fourth proportional to 298,384.59, 447,756.56 and 108,861.60 is: 163,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,384.59 : 447,756.56 = 108,861.60 : x
  2. Step 2: Convert to fraction form
    298,384.59/447,756.56 = 108,861.60/x
  3. Step 3: Cross multiply
    298,384.59x = 447,756.56 × 108,861.60
  4. Step 4: Simplify right side
    298,384.59x = 48,743,497,075.11
  5. Step 5: Solve for x
    x = 48,743,497,075.11/298,384.59
  6. Step 6: Final answer
    x = 163,357.96

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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.