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Finding the Fourth Proportional to 686,983.86, 947,969.97 and 381,054.90

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Solution

The fourth proportional to 686,983.86, 947,969.97 and 381,054.90 is: 525,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,983.86 : 947,969.97 = 381,054.90 : x
  2. Step 2: Convert to fraction form
    686,983.86/947,969.97 = 381,054.90/x
  3. Step 3: Cross multiply
    686,983.86x = 947,969.97 × 381,054.90
  4. Step 4: Simplify right side
    686,983.86x = 361,228,602,121.35
  5. Step 5: Solve for x
    x = 361,228,602,121.35/686,983.86
  6. Step 6: Final answer
    x = 525,818.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.