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Finding the Fourth Proportional to 507,411.63, 700,228.36 and 277,977.26

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Solution

The fourth proportional to 507,411.63, 700,228.36 and 277,977.26 is: 383,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,411.63 : 700,228.36 = 277,977.26 : x
  2. Step 2: Convert to fraction form
    507,411.63/700,228.36 = 277,977.26/x
  3. Step 3: Cross multiply
    507,411.63x = 700,228.36 × 277,977.26
  4. Step 4: Simplify right side
    507,411.63x = 194,647,560,887.09
  5. Step 5: Solve for x
    x = 194,647,560,887.09/507,411.63
  6. Step 6: Final answer
    x = 383,608.79

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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.