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Finding the Fourth Proportional to 505,218.57, 697,184.16 and 301,164.33

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Solution

The fourth proportional to 505,218.57, 697,184.16 and 301,164.33 is: 415,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,218.57 : 697,184.16 = 301,164.33 : x
  2. Step 2: Convert to fraction form
    505,218.57/697,184.16 = 301,164.33/x
  3. Step 3: Cross multiply
    505,218.57x = 697,184.16 × 301,164.33
  4. Step 4: Simplify right side
    505,218.57x = 209,966,999,690.48
  5. Step 5: Solve for x
    x = 209,966,999,690.48/505,218.57
  6. Step 6: Final answer
    x = 415,596.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.