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Finding the Fourth Proportional to 290,129.40, 435,194.10 and 220,145.40

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Solution

The fourth proportional to 290,129.40, 435,194.10 and 220,145.40 is: 330,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,129.40 : 435,194.10 = 220,145.40 : x
  2. Step 2: Convert to fraction form
    290,129.40/435,194.10 = 220,145.40/x
  3. Step 3: Cross multiply
    290,129.40x = 435,194.10 × 220,145.40
  4. Step 4: Simplify right side
    290,129.40x = 95,805,979,222.14
  5. Step 5: Solve for x
    x = 95,805,979,222.14/290,129.40
  6. Step 6: Final answer
    x = 330,218.10

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