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Finding the Fourth Proportional to 428,870.60, 643,305.90 and 113,359.40

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Solution

The fourth proportional to 428,870.60, 643,305.90 and 113,359.40 is: 170,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,870.60 : 643,305.90 = 113,359.40 : x
  2. Step 2: Convert to fraction form
    428,870.60/643,305.90 = 113,359.40/x
  3. Step 3: Cross multiply
    428,870.60x = 643,305.90 × 113,359.40
  4. Step 4: Simplify right side
    428,870.60x = 72,924,770,840.46
  5. Step 5: Solve for x
    x = 72,924,770,840.46/428,870.60
  6. Step 6: Final answer
    x = 170,039.10

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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.