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Finding the Fourth Proportional to 505,134.30, 697,175.64 and 301,198.35

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Solution

The fourth proportional to 505,134.30, 697,175.64 and 301,198.35 is: 415,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,134.30 : 697,175.64 = 301,198.35 : x
  2. Step 2: Convert to fraction form
    505,134.30/697,175.64 = 301,198.35/x
  3. Step 3: Cross multiply
    505,134.30x = 697,175.64 × 301,198.35
  4. Step 4: Simplify right side
    505,134.30x = 209,988,152,428.19
  5. Step 5: Solve for x
    x = 209,988,152,428.19/505,134.30
  6. Step 6: Final answer
    x = 415,707.57

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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.