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Finding the Fourth Proportional to 1,353,193.98, 1,867,409.24 and 733,000.42

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Solution

The fourth proportional to 1,353,193.98, 1,867,409.24 and 733,000.42 is: 1,011,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,193.98 : 1,867,409.24 = 733,000.42 : x
  2. Step 2: Convert to fraction form
    1,353,193.98/1,867,409.24 = 733,000.42/x
  3. Step 3: Cross multiply
    1,353,193.98x = 1,867,409.24 × 733,000.42
  4. Step 4: Simplify right side
    1,353,193.98x = 1,368,811,757,231.88
  5. Step 5: Solve for x
    x = 1,368,811,757,231.88/1,353,193.98
  6. Step 6: Final answer
    x = 1,011,541.42

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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.