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Finding the Fourth Proportional to 310,701.86, 428,764.48 and 174,735.76

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Solution

The fourth proportional to 310,701.86, 428,764.48 and 174,735.76 is: 241,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,701.86 : 428,764.48 = 174,735.76 : x
  2. Step 2: Convert to fraction form
    310,701.86/428,764.48 = 174,735.76/x
  3. Step 3: Cross multiply
    310,701.86x = 428,764.48 × 174,735.76
  4. Step 4: Simplify right side
    310,701.86x = 74,920,487,273.80
  5. Step 5: Solve for x
    x = 74,920,487,273.80/310,701.86
  6. Step 6: Final answer
    x = 241,133.05

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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.