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Finding the Fourth Proportional to 510,180.60, 765,283.50 and 243,969.24

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Solution

The fourth proportional to 510,180.60, 765,283.50 and 243,969.24 is: 365,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,180.60 : 765,283.50 = 243,969.24 : x
  2. Step 2: Convert to fraction form
    510,180.60/765,283.50 = 243,969.24/x
  3. Step 3: Cross multiply
    510,180.60x = 765,283.50 × 243,969.24
  4. Step 4: Simplify right side
    510,180.60x = 186,705,633,879.54
  5. Step 5: Solve for x
    x = 186,705,633,879.54/510,180.60
  6. Step 6: Final answer
    x = 365,959.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.