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Finding the Fourth Proportional to 947,340, 1,307,912.40 and 608,405.76

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Solution

The fourth proportional to 947,340, 1,307,912.40 and 608,405.76 is: 839,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,340 : 1,307,912.40 = 608,405.76 : x
  2. Step 2: Convert to fraction form
    947,340/1,307,912.40 = 608,405.76/x
  3. Step 3: Cross multiply
    947,340x = 1,307,912.40 × 608,405.76
  4. Step 4: Simplify right side
    947,340x = 795,741,437,735.42
  5. Step 5: Solve for x
    x = 795,741,437,735.42/947,340
  6. Step 6: Final answer
    x = 839,974.49

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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.