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Finding the Fourth Proportional to 341,254.84, 470,928.48 and 188,294.44

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Solution

The fourth proportional to 341,254.84, 470,928.48 and 188,294.44 is: 259,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,254.84 : 470,928.48 = 188,294.44 : x
  2. Step 2: Convert to fraction form
    341,254.84/470,928.48 = 188,294.44/x
  3. Step 3: Cross multiply
    341,254.84x = 470,928.48 × 188,294.44
  4. Step 4: Simplify right side
    341,254.84x = 88,673,214,421.65
  5. Step 5: Solve for x
    x = 88,673,214,421.65/341,254.84
  6. Step 6: Final answer
    x = 259,844.56

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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.