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Finding the Fourth Proportional to 349,725.96, 482,653.62 and 198,822.60

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Solution

The fourth proportional to 349,725.96, 482,653.62 and 198,822.60 is: 274,393.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,725.96 : 482,653.62 = 198,822.60 : x
  2. Step 2: Convert to fraction form
    349,725.96/482,653.62 = 198,822.60/x
  3. Step 3: Cross multiply
    349,725.96x = 482,653.62 × 198,822.60
  4. Step 4: Simplify right side
    349,725.96x = 95,962,447,627.81
  5. Step 5: Solve for x
    x = 95,962,447,627.81/349,725.96
  6. Step 6: Final answer
    x = 274,393.26

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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.