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Finding the Fourth Proportional to 471,083.58, 650,076.66 and 256,223.34

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Solution

The fourth proportional to 471,083.58, 650,076.66 and 256,223.34 is: 353,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,083.58 : 650,076.66 = 256,223.34 : x
  2. Step 2: Convert to fraction form
    471,083.58/650,076.66 = 256,223.34/x
  3. Step 3: Cross multiply
    471,083.58x = 650,076.66 × 256,223.34
  4. Step 4: Simplify right side
    471,083.58x = 166,564,813,081.24
  5. Step 5: Solve for x
    x = 166,564,813,081.24/471,083.58
  6. Step 6: Final answer
    x = 353,578.05

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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.