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Finding the Fourth Proportional to 380,771.84, 525,451.92 and 211,021.76

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Solution

The fourth proportional to 380,771.84, 525,451.92 and 211,021.76 is: 291,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,771.84 : 525,451.92 = 211,021.76 : x
  2. Step 2: Convert to fraction form
    380,771.84/525,451.92 = 211,021.76/x
  3. Step 3: Cross multiply
    380,771.84x = 525,451.92 × 211,021.76
  4. Step 4: Simplify right side
    380,771.84x = 110,881,788,953.78
  5. Step 5: Solve for x
    x = 110,881,788,953.78/380,771.84
  6. Step 6: Final answer
    x = 291,202.70

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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.