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Finding the Fourth Proportional to 471,557.86, 707,336.80 and 116,578.60

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Solution

The fourth proportional to 471,557.86, 707,336.80 and 116,578.60 is: 174,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,557.86 : 707,336.80 = 116,578.60 : x
  2. Step 2: Convert to fraction form
    471,557.86/707,336.80 = 116,578.60/x
  3. Step 3: Cross multiply
    471,557.86x = 707,336.80 × 116,578.60
  4. Step 4: Simplify right side
    471,557.86x = 82,460,333,872.48
  5. Step 5: Solve for x
    x = 82,460,333,872.48/471,557.86
  6. Step 6: Final answer
    x = 174,867.90

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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.