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Finding the Fourth Proportional to 316,983.90, 475,898.16 and 183,959.64

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Solution

The fourth proportional to 316,983.90, 475,898.16 and 183,959.64 is: 276,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,983.90 : 475,898.16 = 183,959.64 : x
  2. Step 2: Convert to fraction form
    316,983.90/475,898.16 = 183,959.64/x
  3. Step 3: Cross multiply
    316,983.90x = 475,898.16 × 183,959.64
  4. Step 4: Simplify right side
    316,983.90x = 87,546,054,190.26
  5. Step 5: Solve for x
    x = 87,546,054,190.26/316,983.90
  6. Step 6: Final answer
    x = 276,184.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.