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Finding the Fourth Proportional to 309,296.01, 463,612.32 and 202,639.67

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Solution

The fourth proportional to 309,296.01, 463,612.32 and 202,639.67 is: 303,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,296.01 : 463,612.32 = 202,639.67 : x
  2. Step 2: Convert to fraction form
    309,296.01/463,612.32 = 202,639.67/x
  3. Step 3: Cross multiply
    309,296.01x = 463,612.32 × 202,639.67
  4. Step 4: Simplify right side
    309,296.01x = 93,946,245,214.67
  5. Step 5: Solve for x
    x = 93,946,245,214.67/309,296.01
  6. Step 6: Final answer
    x = 303,742.18

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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.