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Finding the Fourth Proportional to 493,582.80, 740,451.96 and 178,116.96

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Solution

The fourth proportional to 493,582.80, 740,451.96 and 178,116.96 is: 267,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,582.80 : 740,451.96 = 178,116.96 : x
  2. Step 2: Convert to fraction form
    493,582.80/740,451.96 = 178,116.96/x
  3. Step 3: Cross multiply
    493,582.80x = 740,451.96 × 178,116.96
  4. Step 4: Simplify right side
    493,582.80x = 131,887,052,141.24
  5. Step 5: Solve for x
    x = 131,887,052,141.24/493,582.80
  6. Step 6: Final answer
    x = 267,203.50

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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.