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Finding the Fourth Proportional to 510,583.44, 765,030.72 and 310,295.54

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Solution

The fourth proportional to 510,583.44, 765,030.72 and 310,295.54 is: 464,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,583.44 : 765,030.72 = 310,295.54 : x
  2. Step 2: Convert to fraction form
    510,583.44/765,030.72 = 310,295.54/x
  3. Step 3: Cross multiply
    510,583.44x = 765,030.72 × 310,295.54
  4. Step 4: Simplify right side
    510,583.44x = 237,385,620,378.99
  5. Step 5: Solve for x
    x = 237,385,620,378.99/510,583.44
  6. Step 6: Final answer
    x = 464,930.12

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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.