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Finding the Fourth Proportional to 428,462.60, 642,783.78 and 128,965.10

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Solution

The fourth proportional to 428,462.60, 642,783.78 and 128,965.10 is: 193,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,462.60 : 642,783.78 = 128,965.10 : x
  2. Step 2: Convert to fraction form
    428,462.60/642,783.78 = 128,965.10/x
  3. Step 3: Cross multiply
    428,462.60x = 642,783.78 × 128,965.10
  4. Step 4: Simplify right side
    428,462.60x = 82,896,674,466.08
  5. Step 5: Solve for x
    x = 82,896,674,466.08/428,462.60
  6. Step 6: Final answer
    x = 193,474.70

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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.