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Finding the Fourth Proportional to 277,782.24, 383,339.52 and 150,457.44

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Solution

The fourth proportional to 277,782.24, 383,339.52 and 150,457.44 is: 207,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,782.24 : 383,339.52 = 150,457.44 : x
  2. Step 2: Convert to fraction form
    277,782.24/383,339.52 = 150,457.44/x
  3. Step 3: Cross multiply
    277,782.24x = 383,339.52 × 150,457.44
  4. Step 4: Simplify right side
    277,782.24x = 57,676,282,830.03
  5. Step 5: Solve for x
    x = 57,676,282,830.03/277,782.24
  6. Step 6: Final answer
    x = 207,631.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.