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Finding the Fourth Proportional to 274,467.60, 411,701.40 and 162,201.60

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Solution

The fourth proportional to 274,467.60, 411,701.40 and 162,201.60 is: 243,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,467.60 : 411,701.40 = 162,201.60 : x
  2. Step 2: Convert to fraction form
    274,467.60/411,701.40 = 162,201.60/x
  3. Step 3: Cross multiply
    274,467.60x = 411,701.40 × 162,201.60
  4. Step 4: Simplify right side
    274,467.60x = 66,778,625,802.24
  5. Step 5: Solve for x
    x = 66,778,625,802.24/274,467.60
  6. Step 6: Final answer
    x = 243,302.40

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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.