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Finding the Fourth Proportional to 560,123.36, 839,912.16 and 186,020

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Solution

The fourth proportional to 560,123.36, 839,912.16 and 186,020 is: 278,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,123.36 : 839,912.16 = 186,020 : x
  2. Step 2: Convert to fraction form
    560,123.36/839,912.16 = 186,020/x
  3. Step 3: Cross multiply
    560,123.36x = 839,912.16 × 186,020
  4. Step 4: Simplify right side
    560,123.36x = 156,240,460,003.20
  5. Step 5: Solve for x
    x = 156,240,460,003.20/560,123.36
  6. Step 6: Final answer
    x = 278,939.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.