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Finding the Fourth Proportional to 422,525, 583,084.52 and 243,677

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Solution

The fourth proportional to 422,525, 583,084.52 and 243,677 is: 336,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,525 : 583,084.52 = 243,677 : x
  2. Step 2: Convert to fraction form
    422,525/583,084.52 = 243,677/x
  3. Step 3: Cross multiply
    422,525x = 583,084.52 × 243,677
  4. Step 4: Simplify right side
    422,525x = 142,084,286,580.04
  5. Step 5: Solve for x
    x = 142,084,286,580.04/422,525
  6. Step 6: Final answer
    x = 336,274.27

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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.