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Finding the Fourth Proportional to 310,683.16, 428,738.68 and 174,717.06

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Solution

The fourth proportional to 310,683.16, 428,738.68 and 174,717.06 is: 241,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,683.16 : 428,738.68 = 174,717.06 : x
  2. Step 2: Convert to fraction form
    310,683.16/428,738.68 = 174,717.06/x
  3. Step 3: Cross multiply
    310,683.16x = 428,738.68 × 174,717.06
  4. Step 4: Simplify right side
    310,683.16x = 74,907,961,677.88
  5. Step 5: Solve for x
    x = 74,907,961,677.88/310,683.16
  6. Step 6: Final answer
    x = 241,107.25

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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.