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Finding the Fourth Proportional to 275,346.30, 413,019.45 and 264,848.70

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Solution

The fourth proportional to 275,346.30, 413,019.45 and 264,848.70 is: 397,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,346.30 : 413,019.45 = 264,848.70 : x
  2. Step 2: Convert to fraction form
    275,346.30/413,019.45 = 264,848.70/x
  3. Step 3: Cross multiply
    275,346.30x = 413,019.45 × 264,848.70
  4. Step 4: Simplify right side
    275,346.30x = 109,387,664,407.22
  5. Step 5: Solve for x
    x = 109,387,664,407.22/275,346.30
  6. Step 6: Final answer
    x = 397,273.05

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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.