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Finding the Fourth Proportional to 505,137.96, 697,094.10 and 275,696.82

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Solution

The fourth proportional to 505,137.96, 697,094.10 and 275,696.82 is: 380,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,137.96 : 697,094.10 = 275,696.82 : x
  2. Step 2: Convert to fraction form
    505,137.96/697,094.10 = 275,696.82/x
  3. Step 3: Cross multiply
    505,137.96x = 697,094.10 × 275,696.82
  4. Step 4: Simplify right side
    505,137.96x = 192,186,626,610.76
  5. Step 5: Solve for x
    x = 192,186,626,610.76/505,137.96
  6. Step 6: Final answer
    x = 380,463.64

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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.