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Finding the Fourth Proportional to 297,646.56, 410,860.08 and 197,076.96

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Solution

The fourth proportional to 297,646.56, 410,860.08 and 197,076.96 is: 272,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,646.56 : 410,860.08 = 197,076.96 : x
  2. Step 2: Convert to fraction form
    297,646.56/410,860.08 = 197,076.96/x
  3. Step 3: Cross multiply
    297,646.56x = 410,860.08 × 197,076.96
  4. Step 4: Simplify right side
    297,646.56x = 80,971,055,551.76
  5. Step 5: Solve for x
    x = 80,971,055,551.76/297,646.56
  6. Step 6: Final answer
    x = 272,037.60

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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.