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Finding the Fourth Proportional to 340,775.76, 470,273.68 and 187,819.44

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Solution

The fourth proportional to 340,775.76, 470,273.68 and 187,819.44 is: 259,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,775.76 : 470,273.68 = 187,819.44 : x
  2. Step 2: Convert to fraction form
    340,775.76/470,273.68 = 187,819.44/x
  3. Step 3: Cross multiply
    340,775.76x = 470,273.68 × 187,819.44
  4. Step 4: Simplify right side
    340,775.76x = 88,326,539,224.34
  5. Step 5: Solve for x
    x = 88,326,539,224.34/340,775.76
  6. Step 6: Final answer
    x = 259,192.55

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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.