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Finding the Fourth Proportional to 341,760, 471,602.24 and 198,496.64

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Solution

The fourth proportional to 341,760, 471,602.24 and 198,496.64 is: 273,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,760 : 471,602.24 = 198,496.64 : x
  2. Step 2: Convert to fraction form
    341,760/471,602.24 = 198,496.64/x
  3. Step 3: Cross multiply
    341,760x = 471,602.24 × 198,496.64
  4. Step 4: Simplify right side
    341,760x = 93,611,460,056.47
  5. Step 5: Solve for x
    x = 93,611,460,056.47/341,760
  6. Step 6: Final answer
    x = 273,909.94

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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.