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Finding the Fourth Proportional to 686,440.96, 947,296.23 and 392,129.66

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Solution

The fourth proportional to 686,440.96, 947,296.23 and 392,129.66 is: 541,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,440.96 : 947,296.23 = 392,129.66 : x
  2. Step 2: Convert to fraction form
    686,440.96/947,296.23 = 392,129.66/x
  3. Step 3: Cross multiply
    686,440.96x = 947,296.23 × 392,129.66
  4. Step 4: Simplify right side
    686,440.96x = 371,462,948,385.39
  5. Step 5: Solve for x
    x = 371,462,948,385.39/686,440.96
  6. Step 6: Final answer
    x = 541,143.34

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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.