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Finding the Fourth Proportional to 510,584.43, 765,032.22 and 310,296.54

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Solution

The fourth proportional to 510,584.43, 765,032.22 and 310,296.54 is: 464,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,584.43 : 765,032.22 = 310,296.54 : x
  2. Step 2: Convert to fraction form
    510,584.43/765,032.22 = 310,296.54/x
  3. Step 3: Cross multiply
    510,584.43x = 765,032.22 × 310,296.54
  4. Step 4: Simplify right side
    510,584.43x = 237,386,850,854.52
  5. Step 5: Solve for x
    x = 237,386,850,854.52/510,584.43
  6. Step 6: Final answer
    x = 464,931.63

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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.