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Finding the Fourth Proportional to 471,051.39, 706,470.96 and 134,084.58

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Solution

The fourth proportional to 471,051.39, 706,470.96 and 134,084.58 is: 201,096.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,051.39 : 706,470.96 = 134,084.58 : x
  2. Step 2: Convert to fraction form
    471,051.39/706,470.96 = 134,084.58/x
  3. Step 3: Cross multiply
    471,051.39x = 706,470.96 × 134,084.58
  4. Step 4: Simplify right side
    471,051.39x = 94,726,861,953.80
  5. Step 5: Solve for x
    x = 94,726,861,953.80/471,051.39
  6. Step 6: Final answer
    x = 201,096.66

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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.