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Finding the Fourth Proportional to 475,802.14, 656,546.22 and 271,866.27

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Solution

The fourth proportional to 475,802.14, 656,546.22 and 271,866.27 is: 375,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,802.14 : 656,546.22 = 271,866.27 : x
  2. Step 2: Convert to fraction form
    475,802.14/656,546.22 = 271,866.27/x
  3. Step 3: Cross multiply
    475,802.14x = 656,546.22 × 271,866.27
  4. Step 4: Simplify right side
    475,802.14x = 178,492,771,914.00
  5. Step 5: Solve for x
    x = 178,492,771,914.00/475,802.14
  6. Step 6: Final answer
    x = 375,140.75

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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.