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Finding the Fourth Proportional to 650,713.78, 976,238.94 and 381,069.64

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Solution

The fourth proportional to 650,713.78, 976,238.94 and 381,069.64 is: 571,703.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,713.78 : 976,238.94 = 381,069.64 : x
  2. Step 2: Convert to fraction form
    650,713.78/976,238.94 = 381,069.64/x
  3. Step 3: Cross multiply
    650,713.78x = 976,238.94 × 381,069.64
  4. Step 4: Simplify right side
    650,713.78x = 372,015,021,419.78
  5. Step 5: Solve for x
    x = 372,015,021,419.78/650,713.78
  6. Step 6: Final answer
    x = 571,703.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.