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Finding the Fourth Proportional to 296,745.66, 409,509.27 and 162,609.66

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Solution

The fourth proportional to 296,745.66, 409,509.27 and 162,609.66 is: 224,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,745.66 : 409,509.27 = 162,609.66 : x
  2. Step 2: Convert to fraction form
    296,745.66/409,509.27 = 162,609.66/x
  3. Step 3: Cross multiply
    296,745.66x = 409,509.27 × 162,609.66
  4. Step 4: Simplify right side
    296,745.66x = 66,590,163,161.55
  5. Step 5: Solve for x
    x = 66,590,163,161.55/296,745.66
  6. Step 6: Final answer
    x = 224,401.47

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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.