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Finding the Fourth Proportional to 310,585.74, 428,605.75 and 195,938.41

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Solution

The fourth proportional to 310,585.74, 428,605.75 and 195,938.41 is: 270,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,585.74 : 428,605.75 = 195,938.41 : x
  2. Step 2: Convert to fraction form
    310,585.74/428,605.75 = 195,938.41/x
  3. Step 3: Cross multiply
    310,585.74x = 428,605.75 × 195,938.41
  4. Step 4: Simplify right side
    310,585.74x = 83,980,329,171.86
  5. Step 5: Solve for x
    x = 83,980,329,171.86/310,585.74
  6. Step 6: Final answer
    x = 270,393.38

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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.