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Finding the Fourth Proportional to 495,171, 683,344.26 and 268,816.50

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Solution

The fourth proportional to 495,171, 683,344.26 and 268,816.50 is: 370,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,171 : 683,344.26 = 268,816.50 : x
  2. Step 2: Convert to fraction form
    495,171/683,344.26 = 268,816.50/x
  3. Step 3: Cross multiply
    495,171x = 683,344.26 × 268,816.50
  4. Step 4: Simplify right side
    495,171x = 183,694,212,268.29
  5. Step 5: Solve for x
    x = 183,694,212,268.29/495,171
  6. Step 6: Final answer
    x = 370,971.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.