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Finding the Fourth Proportional to 512,067.08, 706,779.06 and 311,031.56

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Solution

The fourth proportional to 512,067.08, 706,779.06 and 311,031.56 is: 429,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,067.08 : 706,779.06 = 311,031.56 : x
  2. Step 2: Convert to fraction form
    512,067.08/706,779.06 = 311,031.56/x
  3. Step 3: Cross multiply
    512,067.08x = 706,779.06 × 311,031.56
  4. Step 4: Simplify right side
    512,067.08x = 219,830,593,607.13
  5. Step 5: Solve for x
    x = 219,830,593,607.13/512,067.08
  6. Step 6: Final answer
    x = 429,300.38

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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.