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Finding the Fourth Proportional to 380,567.08, 525,182.34 and 210,812.20

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Solution

The fourth proportional to 380,567.08, 525,182.34 and 210,812.20 is: 290,920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,567.08 : 525,182.34 = 210,812.20 : x
  2. Step 2: Convert to fraction form
    380,567.08/525,182.34 = 210,812.20/x
  3. Step 3: Cross multiply
    380,567.08x = 525,182.34 × 210,812.20
  4. Step 4: Simplify right side
    380,567.08x = 110,714,844,496.55
  5. Step 5: Solve for x
    x = 110,714,844,496.55/380,567.08
  6. Step 6: Final answer
    x = 290,920.71

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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.