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Finding the Fourth Proportional to 310,959.96, 429,119.52 and 174,993.72

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Solution

The fourth proportional to 310,959.96, 429,119.52 and 174,993.72 is: 241,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,959.96 : 429,119.52 = 174,993.72 : x
  2. Step 2: Convert to fraction form
    310,959.96/429,119.52 = 174,993.72/x
  3. Step 3: Cross multiply
    310,959.96x = 429,119.52 × 174,993.72
  4. Step 4: Simplify right side
    310,959.96x = 75,093,221,129.41
  5. Step 5: Solve for x
    x = 75,093,221,129.41/310,959.96
  6. Step 6: Final answer
    x = 241,488.39

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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.