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Finding the Fourth Proportional to 298,792.06, 412,322.58 and 162,823.24

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Solution

The fourth proportional to 298,792.06, 412,322.58 and 162,823.24 is: 224,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,792.06 : 412,322.58 = 162,823.24 : x
  2. Step 2: Convert to fraction form
    298,792.06/412,322.58 = 162,823.24/x
  3. Step 3: Cross multiply
    298,792.06x = 412,322.58 × 162,823.24
  4. Step 4: Simplify right side
    298,792.06x = 67,135,698,400.76
  5. Step 5: Solve for x
    x = 67,135,698,400.76/298,792.06
  6. Step 6: Final answer
    x = 224,690.37

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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.