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Finding the Fourth Proportional to 290,428.20, 435,655.10 and 164,066.60

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Solution

The fourth proportional to 290,428.20, 435,655.10 and 164,066.60 is: 246,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,428.20 : 435,655.10 = 164,066.60 : x
  2. Step 2: Convert to fraction form
    290,428.20/435,655.10 = 164,066.60/x
  3. Step 3: Cross multiply
    290,428.20x = 435,655.10 × 164,066.60
  4. Step 4: Simplify right side
    290,428.20x = 71,476,451,029.66
  5. Step 5: Solve for x
    x = 71,476,451,029.66/290,428.20
  6. Step 6: Final answer
    x = 246,107.13

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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.