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Finding the Fourth Proportional to 310,701.35, 428,763.80 and 174,735.26

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Solution

The fourth proportional to 310,701.35, 428,763.80 and 174,735.26 is: 241,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,701.35 : 428,763.80 = 174,735.26 : x
  2. Step 2: Convert to fraction form
    310,701.35/428,763.80 = 174,735.26/x
  3. Step 3: Cross multiply
    310,701.35x = 428,763.80 × 174,735.26
  4. Step 4: Simplify right side
    310,701.35x = 74,920,151,054.09
  5. Step 5: Solve for x
    x = 74,920,151,054.09/310,701.35
  6. Step 6: Final answer
    x = 241,132.37

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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.