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Finding the Fourth Proportional to 290,770.40, 436,184.40 and 101,201.60

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Solution

The fourth proportional to 290,770.40, 436,184.40 and 101,201.60 is: 151,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,770.40 : 436,184.40 = 101,201.60 : x
  2. Step 2: Convert to fraction form
    290,770.40/436,184.40 = 101,201.60/x
  3. Step 3: Cross multiply
    290,770.40x = 436,184.40 × 101,201.60
  4. Step 4: Simplify right side
    290,770.40x = 44,142,559,175.04
  5. Step 5: Solve for x
    x = 44,142,559,175.04/290,770.40
  6. Step 6: Final answer
    x = 151,812.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.