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Finding the Fourth Proportional to 290,257.48, 435,511.02 and 150,114.44

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Solution

The fourth proportional to 290,257.48, 435,511.02 and 150,114.44 is: 225,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,257.48 : 435,511.02 = 150,114.44 : x
  2. Step 2: Convert to fraction form
    290,257.48/435,511.02 = 150,114.44/x
  3. Step 3: Cross multiply
    290,257.48x = 435,511.02 × 150,114.44
  4. Step 4: Simplify right side
    290,257.48x = 65,376,492,881.13
  5. Step 5: Solve for x
    x = 65,376,492,881.13/290,257.48
  6. Step 6: Final answer
    x = 225,236.20

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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.