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Finding the Fourth Proportional to 296,673.76, 409,406.64 and 162,537.44

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Solution

The fourth proportional to 296,673.76, 409,406.64 and 162,537.44 is: 224,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,673.76 : 409,406.64 = 162,537.44 : x
  2. Step 2: Convert to fraction form
    296,673.76/409,406.64 = 162,537.44/x
  3. Step 3: Cross multiply
    296,673.76x = 409,406.64 × 162,537.44
  4. Step 4: Simplify right side
    296,673.76x = 66,543,907,184.60
  5. Step 5: Solve for x
    x = 66,543,907,184.60/296,673.76
  6. Step 6: Final answer
    x = 224,299.94

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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.