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Finding the Fourth Proportional to 380,704.18, 525,371.77 and 210,938.31

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Solution

The fourth proportional to 380,704.18, 525,371.77 and 210,938.31 is: 291,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,704.18 : 525,371.77 = 210,938.31 : x
  2. Step 2: Convert to fraction form
    380,704.18/525,371.77 = 210,938.31/x
  3. Step 3: Cross multiply
    380,704.18x = 525,371.77 × 210,938.31
  4. Step 4: Simplify right side
    380,704.18x = 110,821,030,658.65
  5. Step 5: Solve for x
    x = 110,821,030,658.65/380,704.18
  6. Step 6: Final answer
    x = 291,094.86

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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.