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Finding the Fourth Proportional to 357,126.38, 492,840.40 and 195,996.43

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Solution

The fourth proportional to 357,126.38, 492,840.40 and 195,996.43 is: 270,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,126.38 : 492,840.40 = 195,996.43 : x
  2. Step 2: Convert to fraction form
    357,126.38/492,840.40 = 195,996.43/x
  3. Step 3: Cross multiply
    357,126.38x = 492,840.40 × 195,996.43
  4. Step 4: Simplify right side
    357,126.38x = 96,594,956,005.58
  5. Step 5: Solve for x
    x = 96,594,956,005.58/357,126.38
  6. Step 6: Final answer
    x = 270,478.35

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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.