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Finding the Fourth Proportional to 492,829.60, 739,268.70 and 256,633.60

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Solution

The fourth proportional to 492,829.60, 739,268.70 and 256,633.60 is: 384,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,829.60 : 739,268.70 = 256,633.60 : x
  2. Step 2: Convert to fraction form
    492,829.60/739,268.70 = 256,633.60/x
  3. Step 3: Cross multiply
    492,829.60x = 739,268.70 × 256,633.60
  4. Step 4: Simplify right side
    492,829.60x = 189,721,187,848.32
  5. Step 5: Solve for x
    x = 189,721,187,848.32/492,829.60
  6. Step 6: Final answer
    x = 384,963.05

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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.