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Finding the Fourth Proportional to 303,813.84, 419,254.98 and 167,825.86

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Solution

The fourth proportional to 303,813.84, 419,254.98 and 167,825.86 is: 231,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,813.84 : 419,254.98 = 167,825.86 : x
  2. Step 2: Convert to fraction form
    303,813.84/419,254.98 = 167,825.86/x
  3. Step 3: Cross multiply
    303,813.84x = 419,254.98 × 167,825.86
  4. Step 4: Simplify right side
    303,813.84x = 70,361,827,577.78
  5. Step 5: Solve for x
    x = 70,361,827,577.78/303,813.84
  6. Step 6: Final answer
    x = 231,595.20

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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.