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Finding the Fourth Proportional to 510,023.92, 703,437.60 and 328,765.36

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Solution

The fourth proportional to 510,023.92, 703,437.60 and 328,765.36 is: 453,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,023.92 : 703,437.60 = 328,765.36 : x
  2. Step 2: Convert to fraction form
    510,023.92/703,437.60 = 328,765.36/x
  3. Step 3: Cross multiply
    510,023.92x = 703,437.60 × 328,765.36
  4. Step 4: Simplify right side
    510,023.92x = 231,265,915,801.54
  5. Step 5: Solve for x
    x = 231,265,915,801.54/510,023.92
  6. Step 6: Final answer
    x = 453,441.31

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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.