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Finding the Fourth Proportional to 455,698.20, 682,235.10 and 278,551.20

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Solution

The fourth proportional to 455,698.20, 682,235.10 and 278,551.20 is: 417,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,698.20 : 682,235.10 = 278,551.20 : x
  2. Step 2: Convert to fraction form
    455,698.20/682,235.10 = 278,551.20/x
  3. Step 3: Cross multiply
    455,698.20x = 682,235.10 × 278,551.20
  4. Step 4: Simplify right side
    455,698.20x = 190,037,405,787.12
  5. Step 5: Solve for x
    x = 190,037,405,787.12/455,698.20
  6. Step 6: Final answer
    x = 417,024.70

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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.