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Finding the Fourth Proportional to 341,012.76, 470,586.78 and 188,057.40

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Solution

The fourth proportional to 341,012.76, 470,586.78 and 188,057.40 is: 259,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,012.76 : 470,586.78 = 188,057.40 : x
  2. Step 2: Convert to fraction form
    341,012.76/470,586.78 = 188,057.40/x
  3. Step 3: Cross multiply
    341,012.76x = 470,586.78 × 188,057.40
  4. Step 4: Simplify right side
    341,012.76x = 88,497,326,321.17
  5. Step 5: Solve for x
    x = 88,497,326,321.17/341,012.76
  6. Step 6: Final answer
    x = 259,513.24

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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.