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Finding the Fourth Proportional to 295,703.10, 442,971.45 and 177,021.90

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Solution

The fourth proportional to 295,703.10, 442,971.45 and 177,021.90 is: 265,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,703.10 : 442,971.45 = 177,021.90 : x
  2. Step 2: Convert to fraction form
    295,703.10/442,971.45 = 177,021.90/x
  3. Step 3: Cross multiply
    295,703.10x = 442,971.45 × 177,021.90
  4. Step 4: Simplify right side
    295,703.10x = 78,415,647,724.76
  5. Step 5: Solve for x
    x = 78,415,647,724.76/295,703.10
  6. Step 6: Final answer
    x = 265,183.72

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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.