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Finding the Fourth Proportional to 296,300.16, 408,568.32 and 188,749.44

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Solution

The fourth proportional to 296,300.16, 408,568.32 and 188,749.44 is: 260,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,300.16 : 408,568.32 = 188,749.44 : x
  2. Step 2: Convert to fraction form
    296,300.16/408,568.32 = 188,749.44/x
  3. Step 3: Cross multiply
    296,300.16x = 408,568.32 × 188,749.44
  4. Step 4: Simplify right side
    296,300.16x = 77,117,041,601.74
  5. Step 5: Solve for x
    x = 77,117,041,601.74/296,300.16
  6. Step 6: Final answer
    x = 260,266.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.