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Finding the Fourth Proportional to 428,635.60, 642,980.16 and 113,092.84

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Solution

The fourth proportional to 428,635.60, 642,980.16 and 113,092.84 is: 169,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,635.60 : 642,980.16 = 113,092.84 : x
  2. Step 2: Convert to fraction form
    428,635.60/642,980.16 = 113,092.84/x
  3. Step 3: Cross multiply
    428,635.60x = 642,980.16 × 113,092.84
  4. Step 4: Simplify right side
    428,635.60x = 72,716,452,358.05
  5. Step 5: Solve for x
    x = 72,716,452,358.05/428,635.60
  6. Step 6: Final answer
    x = 169,646.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.