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Finding the Fourth Proportional to 290,463.40, 435,695.10 and 269,468.20

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Solution

The fourth proportional to 290,463.40, 435,695.10 and 269,468.20 is: 404,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,463.40 : 435,695.10 = 269,468.20 : x
  2. Step 2: Convert to fraction form
    290,463.40/435,695.10 = 269,468.20/x
  3. Step 3: Cross multiply
    290,463.40x = 435,695.10 × 269,468.20
  4. Step 4: Simplify right side
    290,463.40x = 117,405,974,345.82
  5. Step 5: Solve for x
    x = 117,405,974,345.82/290,463.40
  6. Step 6: Final answer
    x = 404,202.30

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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.