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Finding the Fourth Proportional to 428,475.60, 642,710.16 and 128,954.88

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Solution

The fourth proportional to 428,475.60, 642,710.16 and 128,954.88 is: 193,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,475.60 : 642,710.16 = 128,954.88 : x
  2. Step 2: Convert to fraction form
    428,475.60/642,710.16 = 128,954.88/x
  3. Step 3: Cross multiply
    428,475.60x = 642,710.16 × 128,954.88
  4. Step 4: Simplify right side
    428,475.60x = 82,880,611,557.58
  5. Step 5: Solve for x
    x = 82,880,611,557.58/428,475.60
  6. Step 6: Final answer
    x = 193,431.34

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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.