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Finding the Fourth Proportional to 686,941.92, 947,983.16 and 380,997

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Solution

The fourth proportional to 686,941.92, 947,983.16 and 380,997 is: 525,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,941.92 : 947,983.16 = 380,997 : x
  2. Step 2: Convert to fraction form
    686,941.92/947,983.16 = 380,997/x
  3. Step 3: Cross multiply
    686,941.92x = 947,983.16 × 380,997
  4. Step 4: Simplify right side
    686,941.92x = 361,178,740,010.52
  5. Step 5: Solve for x
    x = 361,178,740,010.52/686,941.92
  6. Step 6: Final answer
    x = 525,777.70

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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.