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Finding the Fourth Proportional to 322,975.72, 445,703.16 and 177,776.74

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Solution

The fourth proportional to 322,975.72, 445,703.16 and 177,776.74 is: 245,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,975.72 : 445,703.16 = 177,776.74 : x
  2. Step 2: Convert to fraction form
    322,975.72/445,703.16 = 177,776.74/x
  3. Step 3: Cross multiply
    322,975.72x = 445,703.16 × 177,776.74
  4. Step 4: Simplify right side
    322,975.72x = 79,235,654,792.50
  5. Step 5: Solve for x
    x = 79,235,654,792.50/322,975.72
  6. Step 6: Final answer
    x = 245,330.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.