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Finding the Fourth Proportional to 296,889.75, 409,733.78 and 162,779.67

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Solution

The fourth proportional to 296,889.75, 409,733.78 and 162,779.67 is: 224,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,889.75 : 409,733.78 = 162,779.67 : x
  2. Step 2: Convert to fraction form
    296,889.75/409,733.78 = 162,779.67/x
  3. Step 3: Cross multiply
    296,889.75x = 409,733.78 × 162,779.67
  4. Step 4: Simplify right side
    296,889.75x = 66,696,328,682.35
  5. Step 5: Solve for x
    x = 66,696,328,682.35/296,889.75
  6. Step 6: Final answer
    x = 224,650.16

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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.