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Finding the Fourth Proportional to 1,213,986.45, 1,696,431.75 and 1,213,986.45

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Solution

The fourth proportional to 1,213,986.45, 1,696,431.75 and 1,213,986.45 is: 1,696,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,986.45 : 1,696,431.75 = 1,213,986.45 : x
  2. Step 2: Convert to fraction form
    1,213,986.45/1,696,431.75 = 1,213,986.45/x
  3. Step 3: Cross multiply
    1,213,986.45x = 1,696,431.75 × 1,213,986.45
  4. Step 4: Simplify right side
    1,213,986.45x = 2,059,445,157,849.79
  5. Step 5: Solve for x
    x = 2,059,445,157,849.79/1,213,986.45
  6. Step 6: Final answer
    x = 1,696,431.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.