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Finding the Fourth Proportional to 380,704.12, 525,371.69 and 210,938.24

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Solution

The fourth proportional to 380,704.12, 525,371.69 and 210,938.24 is: 291,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,704.12 : 525,371.69 = 210,938.24 : x
  2. Step 2: Convert to fraction form
    380,704.12/525,371.69 = 210,938.24/x
  3. Step 3: Cross multiply
    380,704.12x = 525,371.69 × 210,938.24
  4. Step 4: Simplify right side
    380,704.12x = 110,820,979,634.43
  5. Step 5: Solve for x
    x = 110,820,979,634.43/380,704.12
  6. Step 6: Final answer
    x = 291,094.77

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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.