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Finding the Fourth Proportional to 598,384.27, 825,688.51 and 343,735.39

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Solution

The fourth proportional to 598,384.27, 825,688.51 and 343,735.39 is: 474,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,384.27 : 825,688.51 = 343,735.39 : x
  2. Step 2: Convert to fraction form
    598,384.27/825,688.51 = 343,735.39/x
  3. Step 3: Cross multiply
    598,384.27x = 825,688.51 × 343,735.39
  4. Step 4: Simplify right side
    598,384.27x = 283,818,362,003.37
  5. Step 5: Solve for x
    x = 283,818,362,003.37/598,384.27
  6. Step 6: Final answer
    x = 474,307.86

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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.