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Finding the Fourth Proportional to 296,996.85, 409,858.58 and 161,030.45

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Solution

The fourth proportional to 296,996.85, 409,858.58 and 161,030.45 is: 222,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,996.85 : 409,858.58 = 161,030.45 : x
  2. Step 2: Convert to fraction form
    296,996.85/409,858.58 = 161,030.45/x
  3. Step 3: Cross multiply
    296,996.85x = 409,858.58 × 161,030.45
  4. Step 4: Simplify right side
    296,996.85x = 65,999,708,719.32
  5. Step 5: Solve for x
    x = 65,999,708,719.32/296,996.85
  6. Step 6: Final answer
    x = 222,223.60

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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.