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Finding the Fourth Proportional to 495,842.96, 743,772.72 and 259,646.96

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Solution

The fourth proportional to 495,842.96, 743,772.72 and 259,646.96 is: 389,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,842.96 : 743,772.72 = 259,646.96 : x
  2. Step 2: Convert to fraction form
    495,842.96/743,772.72 = 259,646.96/x
  3. Step 3: Cross multiply
    495,842.96x = 743,772.72 × 259,646.96
  4. Step 4: Simplify right side
    495,842.96x = 193,118,325,678.93
  5. Step 5: Solve for x
    x = 193,118,325,678.93/495,842.96
  6. Step 6: Final answer
    x = 389,474.78

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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.