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Finding the Fourth Proportional to 431,756.96, 595,867.44 and 322,671.84

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Solution

The fourth proportional to 431,756.96, 595,867.44 and 322,671.84 is: 445,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,756.96 : 595,867.44 = 322,671.84 : x
  2. Step 2: Convert to fraction form
    431,756.96/595,867.44 = 322,671.84/x
  3. Step 3: Cross multiply
    431,756.96x = 595,867.44 × 322,671.84
  4. Step 4: Simplify right side
    431,756.96x = 192,269,643,260.89
  5. Step 5: Solve for x
    x = 192,269,643,260.89/431,756.96
  6. Step 6: Final answer
    x = 445,319.15

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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.