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Finding the Fourth Proportional to 565,540.52, 780,464.58 and 310,902.44

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Solution

The fourth proportional to 565,540.52, 780,464.58 and 310,902.44 is: 429,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,540.52 : 780,464.58 = 310,902.44 : x
  2. Step 2: Convert to fraction form
    565,540.52/780,464.58 = 310,902.44/x
  3. Step 3: Cross multiply
    565,540.52x = 780,464.58 × 310,902.44
  4. Step 4: Simplify right side
    565,540.52x = 242,648,342,255.58
  5. Step 5: Solve for x
    x = 242,648,342,255.58/565,540.52
  6. Step 6: Final answer
    x = 429,055.63

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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.