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Finding the Fourth Proportional to 471,559.86, 707,339.80 and 116,580.60

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Solution

The fourth proportional to 471,559.86, 707,339.80 and 116,580.60 is: 174,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,559.86 : 707,339.80 = 116,580.60 : x
  2. Step 2: Convert to fraction form
    471,559.86/707,339.80 = 116,580.60/x
  3. Step 3: Cross multiply
    471,559.86x = 707,339.80 × 116,580.60
  4. Step 4: Simplify right side
    471,559.86x = 82,462,098,287.88
  5. Step 5: Solve for x
    x = 82,462,098,287.88/471,559.86
  6. Step 6: Final answer
    x = 174,870.90

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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.