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Finding the Fourth Proportional to 296,401, 409,033.40 and 162,265

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Solution

The fourth proportional to 296,401, 409,033.40 and 162,265 is: 223,925.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,401 : 409,033.40 = 162,265 : x
  2. Step 2: Convert to fraction form
    296,401/409,033.40 = 162,265/x
  3. Step 3: Cross multiply
    296,401x = 409,033.40 × 162,265
  4. Step 4: Simplify right side
    296,401x = 66,371,804,651
  5. Step 5: Solve for x
    x = 66,371,804,651/296,401
  6. Step 6: Final answer
    x = 223,925.71

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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.