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Finding the Fourth Proportional to 455,094.18, 682,738.47 and 174,609

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Solution

The fourth proportional to 455,094.18, 682,738.47 and 174,609 is: 261,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,094.18 : 682,738.47 = 174,609 : x
  2. Step 2: Convert to fraction form
    455,094.18/682,738.47 = 174,609/x
  3. Step 3: Cross multiply
    455,094.18x = 682,738.47 × 174,609
  4. Step 4: Simplify right side
    455,094.18x = 119,212,281,508.23
  5. Step 5: Solve for x
    x = 119,212,281,508.23/455,094.18
  6. Step 6: Final answer
    x = 261,950.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.