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Finding the Fourth Proportional to 275,271.60, 412,907.40 and 181,777.35

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Solution

The fourth proportional to 275,271.60, 412,907.40 and 181,777.35 is: 272,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,271.60 : 412,907.40 = 181,777.35 : x
  2. Step 2: Convert to fraction form
    275,271.60/412,907.40 = 181,777.35/x
  3. Step 3: Cross multiply
    275,271.60x = 412,907.40 × 181,777.35
  4. Step 4: Simplify right side
    275,271.60x = 75,057,212,967.39
  5. Step 5: Solve for x
    x = 75,057,212,967.39/275,271.60
  6. Step 6: Final answer
    x = 272,666.03

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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.