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Finding the Fourth Proportional to 598,323.12, 825,671.43 and 343,690.68

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Solution

The fourth proportional to 598,323.12, 825,671.43 and 343,690.68 is: 474,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,323.12 : 825,671.43 = 343,690.68 : x
  2. Step 2: Convert to fraction form
    598,323.12/825,671.43 = 343,690.68/x
  3. Step 3: Cross multiply
    598,323.12x = 825,671.43 × 343,690.68
  4. Step 4: Simplify right side
    598,323.12x = 283,775,575,233.27
  5. Step 5: Solve for x
    x = 283,775,575,233.27/598,323.12
  6. Step 6: Final answer
    x = 474,284.82

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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.