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Finding the Fourth Proportional to 598,283.64, 825,598.98 and 343,634.90

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Solution

The fourth proportional to 598,283.64, 825,598.98 and 343,634.90 is: 474,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,283.64 : 825,598.98 = 343,634.90 : x
  2. Step 2: Convert to fraction form
    598,283.64/825,598.98 = 343,634.90/x
  3. Step 3: Cross multiply
    598,283.64x = 825,598.98 × 343,634.90
  4. Step 4: Simplify right side
    598,283.64x = 283,704,618,804.41
  5. Step 5: Solve for x
    x = 283,704,618,804.41/598,283.64
  6. Step 6: Final answer
    x = 474,197.52

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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.