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Finding the Fourth Proportional to 380,439.72, 525,006.34 and 210,673.64

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Solution

The fourth proportional to 380,439.72, 525,006.34 and 210,673.64 is: 290,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,439.72 : 525,006.34 = 210,673.64 : x
  2. Step 2: Convert to fraction form
    380,439.72/525,006.34 = 210,673.64/x
  3. Step 3: Cross multiply
    380,439.72x = 525,006.34 × 210,673.64
  4. Step 4: Simplify right side
    380,439.72x = 110,604,996,670.88
  5. Step 5: Solve for x
    x = 110,604,996,670.88/380,439.72
  6. Step 6: Final answer
    x = 290,729.36

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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.