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Finding the Fourth Proportional to 512,390.32, 767,557.32 and 470,536.54

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Solution

The fourth proportional to 512,390.32, 767,557.32 and 470,536.54 is: 704,860.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,390.32 : 767,557.32 = 470,536.54 : x
  2. Step 2: Convert to fraction form
    512,390.32/767,557.32 = 470,536.54/x
  3. Step 3: Cross multiply
    512,390.32x = 767,557.32 × 470,536.54
  4. Step 4: Simplify right side
    512,390.32x = 361,163,765,604.47
  5. Step 5: Solve for x
    x = 361,163,765,604.47/512,390.32
  6. Step 6: Final answer
    x = 704,860.63

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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.