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Finding the Fourth Proportional to 471,523.13, 707,277.76 and 116,537.18

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Solution

The fourth proportional to 471,523.13, 707,277.76 and 116,537.18 is: 174,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,523.13 : 707,277.76 = 116,537.18 : x
  2. Step 2: Convert to fraction form
    471,523.13/707,277.76 = 116,537.18/x
  3. Step 3: Cross multiply
    471,523.13x = 707,277.76 × 116,537.18
  4. Step 4: Simplify right side
    471,523.13x = 82,424,155,627.12
  5. Step 5: Solve for x
    x = 82,424,155,627.12/471,523.13
  6. Step 6: Final answer
    x = 174,804.06

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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.