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Finding the Fourth Proportional to 510,650.64, 704,591.04 and 295,777.88

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Solution

The fourth proportional to 510,650.64, 704,591.04 and 295,777.88 is: 408,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,650.64 : 704,591.04 = 295,777.88 : x
  2. Step 2: Convert to fraction form
    510,650.64/704,591.04 = 295,777.88/x
  3. Step 3: Cross multiply
    510,650.64x = 704,591.04 × 295,777.88
  4. Step 4: Simplify right side
    510,650.64x = 208,402,444,078.20
  5. Step 5: Solve for x
    x = 208,402,444,078.20/510,650.64
  6. Step 6: Final answer
    x = 408,111.59

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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.