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Finding the Fourth Proportional to 310,683.29, 428,738.85 and 174,717.19

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Solution

The fourth proportional to 310,683.29, 428,738.85 and 174,717.19 is: 241,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,683.29 : 428,738.85 = 174,717.19 : x
  2. Step 2: Convert to fraction form
    310,683.29/428,738.85 = 174,717.19/x
  3. Step 3: Cross multiply
    310,683.29x = 428,738.85 × 174,717.19
  4. Step 4: Simplify right side
    310,683.29x = 74,908,047,651.76
  5. Step 5: Solve for x
    x = 74,908,047,651.76/310,683.29
  6. Step 6: Final answer
    x = 241,107.43

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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.