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Finding the Fourth Proportional to 298,100.03, 411,485.02 and 177,241.01

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Solution

The fourth proportional to 298,100.03, 411,485.02 and 177,241.01 is: 244,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,100.03 : 411,485.02 = 177,241.01 : x
  2. Step 2: Convert to fraction form
    298,100.03/411,485.02 = 177,241.01/x
  3. Step 3: Cross multiply
    298,100.03x = 411,485.02 × 177,241.01
  4. Step 4: Simplify right side
    298,100.03x = 72,932,018,044.14
  5. Step 5: Solve for x
    x = 72,932,018,044.14/298,100.03
  6. Step 6: Final answer
    x = 244,656.20

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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.