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Finding the Fourth Proportional to 415,917.76, 573,289.44 and 325,113.44

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Solution

The fourth proportional to 415,917.76, 573,289.44 and 325,113.44 is: 448,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,917.76 : 573,289.44 = 325,113.44 : x
  2. Step 2: Convert to fraction form
    415,917.76/573,289.44 = 325,113.44/x
  3. Step 3: Cross multiply
    415,917.76x = 573,289.44 × 325,113.44
  4. Step 4: Simplify right side
    415,917.76x = 186,384,101,954.07
  5. Step 5: Solve for x
    x = 186,384,101,954.07/415,917.76
  6. Step 6: Final answer
    x = 448,127.30

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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.