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Finding the Fourth Proportional to 298,367.12, 411,746.64 and 162,401.60

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Solution

The fourth proportional to 298,367.12, 411,746.64 and 162,401.60 is: 224,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,367.12 : 411,746.64 = 162,401.60 : x
  2. Step 2: Convert to fraction form
    298,367.12/411,746.64 = 162,401.60/x
  3. Step 3: Cross multiply
    298,367.12x = 411,746.64 × 162,401.60
  4. Step 4: Simplify right side
    298,367.12x = 66,868,313,130.62
  5. Step 5: Solve for x
    x = 66,868,313,130.62/298,367.12
  6. Step 6: Final answer
    x = 224,114.22

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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.