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Finding the Fourth Proportional to 505,214.82, 697,193.06 and 275,771.16

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Solution

The fourth proportional to 505,214.82, 697,193.06 and 275,771.16 is: 380,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,214.82 : 697,193.06 = 275,771.16 : x
  2. Step 2: Convert to fraction form
    505,214.82/697,193.06 = 275,771.16/x
  3. Step 3: Cross multiply
    505,214.82x = 697,193.06 × 275,771.16
  4. Step 4: Simplify right side
    505,214.82x = 192,265,737,521.29
  5. Step 5: Solve for x
    x = 192,265,737,521.29/505,214.82
  6. Step 6: Final answer
    x = 380,562.35

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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.