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Finding the Fourth Proportional to 493,991.46, 742,169.25 and 316,844.46

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Solution

The fourth proportional to 493,991.46, 742,169.25 and 316,844.46 is: 476,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,991.46 : 742,169.25 = 316,844.46 : x
  2. Step 2: Convert to fraction form
    493,991.46/742,169.25 = 316,844.46/x
  3. Step 3: Cross multiply
    493,991.46x = 742,169.25 × 316,844.46
  4. Step 4: Simplify right side
    493,991.46x = 235,152,215,244.86
  5. Step 5: Solve for x
    x = 235,152,215,244.86/493,991.46
  6. Step 6: Final answer
    x = 476,024.86

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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.