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Finding the Fourth Proportional to 290,522.80, 434,846.75 and 150,088.24

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Solution

The fourth proportional to 290,522.80, 434,846.75 and 150,088.24 is: 224,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,522.80 : 434,846.75 = 150,088.24 : x
  2. Step 2: Convert to fraction form
    290,522.80/434,846.75 = 150,088.24/x
  3. Step 3: Cross multiply
    290,522.80x = 434,846.75 × 150,088.24
  4. Step 4: Simplify right side
    290,522.80x = 65,265,382,665.32
  5. Step 5: Solve for x
    x = 65,265,382,665.32/290,522.80
  6. Step 6: Final answer
    x = 224,648.06

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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.