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Finding the Fourth Proportional to 290,422.17, 435,617.60 and 90,719.64

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Solution

The fourth proportional to 290,422.17, 435,617.60 and 90,719.64 is: 136,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,422.17 : 435,617.60 = 90,719.64 : x
  2. Step 2: Convert to fraction form
    290,422.17/435,617.60 = 90,719.64/x
  3. Step 3: Cross multiply
    290,422.17x = 435,617.60 × 90,719.64
  4. Step 4: Simplify right side
    290,422.17x = 39,519,071,396.07
  5. Step 5: Solve for x
    x = 39,519,071,396.07/290,422.17
  6. Step 6: Final answer
    x = 136,074.57

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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.