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Finding the Fourth Proportional to 290,834.24, 435,473.32 and 170,792.24

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Solution

The fourth proportional to 290,834.24, 435,473.32 and 170,792.24 is: 255,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,834.24 : 435,473.32 = 170,792.24 : x
  2. Step 2: Convert to fraction form
    290,834.24/435,473.32 = 170,792.24/x
  3. Step 3: Cross multiply
    290,834.24x = 435,473.32 × 170,792.24
  4. Step 4: Simplify right side
    290,834.24x = 74,375,463,783.04
  5. Step 5: Solve for x
    x = 74,375,463,783.04/290,834.24
  6. Step 6: Final answer
    x = 255,731.46

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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.