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Finding the Fourth Proportional to 298,792.90, 412,322.20 and 162,823.93

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Solution

The fourth proportional to 298,792.90, 412,322.20 and 162,823.93 is: 224,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,792.90 : 412,322.20 = 162,823.93 : x
  2. Step 2: Convert to fraction form
    298,792.90/412,322.20 = 162,823.93/x
  3. Step 3: Cross multiply
    298,792.90x = 412,322.20 × 162,823.93
  4. Step 4: Simplify right side
    298,792.90x = 67,135,921,030.25
  5. Step 5: Solve for x
    x = 67,135,921,030.25/298,792.90
  6. Step 6: Final answer
    x = 224,690.48

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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.