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Finding the Fourth Proportional to 296,647.96, 444,971.68 and 119,155

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Solution

The fourth proportional to 296,647.96, 444,971.68 and 119,155 is: 178,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,647.96 : 444,971.68 = 119,155 : x
  2. Step 2: Convert to fraction form
    296,647.96/444,971.68 = 119,155/x
  3. Step 3: Cross multiply
    296,647.96x = 444,971.68 × 119,155
  4. Step 4: Simplify right side
    296,647.96x = 53,020,600,530.40
  5. Step 5: Solve for x
    x = 53,020,600,530.40/296,647.96
  6. Step 6: Final answer
    x = 178,732.40

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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.