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Finding the Fourth Proportional to 298,280.24, 447,421.29 and 73,640.70

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Solution

The fourth proportional to 298,280.24, 447,421.29 and 73,640.70 is: 110,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,280.24 : 447,421.29 = 73,640.70 : x
  2. Step 2: Convert to fraction form
    298,280.24/447,421.29 = 73,640.70/x
  3. Step 3: Cross multiply
    298,280.24x = 447,421.29 × 73,640.70
  4. Step 4: Simplify right side
    298,280.24x = 32,948,416,990.50
  5. Step 5: Solve for x
    x = 32,948,416,990.50/298,280.24
  6. Step 6: Final answer
    x = 110,461.28

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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.