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Finding the Fourth Proportional to 380,448.09, 525,034.17 and 210,682.35

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Solution

The fourth proportional to 380,448.09, 525,034.17 and 210,682.35 is: 290,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,448.09 : 525,034.17 = 210,682.35 : x
  2. Step 2: Convert to fraction form
    380,448.09/525,034.17 = 210,682.35/x
  3. Step 3: Cross multiply
    380,448.09x = 525,034.17 × 210,682.35
  4. Step 4: Simplify right side
    380,448.09x = 110,615,432,765.90
  5. Step 5: Solve for x
    x = 110,615,432,765.90/380,448.09
  6. Step 6: Final answer
    x = 290,750.40

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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.