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Finding the Fourth Proportional to 471,051.05, 706,470.39 and 134,084.22

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Solution

The fourth proportional to 471,051.05, 706,470.39 and 134,084.22 is: 201,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,051.05 : 706,470.39 = 134,084.22 : x
  2. Step 2: Convert to fraction form
    471,051.05/706,470.39 = 134,084.22/x
  3. Step 3: Cross multiply
    471,051.05x = 706,470.39 × 134,084.22
  4. Step 4: Simplify right side
    471,051.05x = 94,726,531,196.25
  5. Step 5: Solve for x
    x = 94,726,531,196.25/471,051.05
  6. Step 6: Final answer
    x = 201,096.11

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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.