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Finding the Fourth Proportional to 290,039.22, 435,052.14 and 170,852.25

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Solution

The fourth proportional to 290,039.22, 435,052.14 and 170,852.25 is: 256,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,039.22 : 435,052.14 = 170,852.25 : x
  2. Step 2: Convert to fraction form
    290,039.22/435,052.14 = 170,852.25/x
  3. Step 3: Cross multiply
    290,039.22x = 435,052.14 × 170,852.25
  4. Step 4: Simplify right side
    290,039.22x = 74,329,636,986.32
  5. Step 5: Solve for x
    x = 74,329,636,986.32/290,039.22
  6. Step 6: Final answer
    x = 256,274.43

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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.