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Finding the Fourth Proportional to 341,071.56, 470,672.34 and 188,124

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Solution

The fourth proportional to 341,071.56, 470,672.34 and 188,124 is: 259,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,071.56 : 470,672.34 = 188,124 : x
  2. Step 2: Convert to fraction form
    341,071.56/470,672.34 = 188,124/x
  3. Step 3: Cross multiply
    341,071.56x = 470,672.34 × 188,124
  4. Step 4: Simplify right side
    341,071.56x = 88,544,763,290.16
  5. Step 5: Solve for x
    x = 88,544,763,290.16/341,071.56
  6. Step 6: Final answer
    x = 259,607.58

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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.