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Finding the Fourth Proportional to 383,047.94, 573,795.36 and 177,594

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Solution

The fourth proportional to 383,047.94, 573,795.36 and 177,594 is: 266,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,047.94 : 573,795.36 = 177,594 : x
  2. Step 2: Convert to fraction form
    383,047.94/573,795.36 = 177,594/x
  3. Step 3: Cross multiply
    383,047.94x = 573,795.36 × 177,594
  4. Step 4: Simplify right side
    383,047.94x = 101,902,613,163.84
  5. Step 5: Solve for x
    x = 101,902,613,163.84/383,047.94
  6. Step 6: Final answer
    x = 266,030.97

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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.