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Finding the Fourth Proportional to 780,024, 1,170,036 and 189,048

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Solution

The fourth proportional to 780,024, 1,170,036 and 189,048 is: 283,572

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,024 : 1,170,036 = 189,048 : x
  2. Step 2: Convert to fraction form
    780,024/1,170,036 = 189,048/x
  3. Step 3: Cross multiply
    780,024x = 1,170,036 × 189,048
  4. Step 4: Simplify right side
    780,024x = 221,192,965,728
  5. Step 5: Solve for x
    x = 221,192,965,728/780,024
  6. Step 6: Final answer
    x = 283,572

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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.