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Finding the Fourth Proportional to 464,410.36, 696,684.80 and 164,865.86

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Solution

The fourth proportional to 464,410.36, 696,684.80 and 164,865.86 is: 247,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,410.36 : 696,684.80 = 164,865.86 : x
  2. Step 2: Convert to fraction form
    464,410.36/696,684.80 = 164,865.86/x
  3. Step 3: Cross multiply
    464,410.36x = 696,684.80 × 164,865.86
  4. Step 4: Simplify right side
    464,410.36x = 114,859,535,355.44
  5. Step 5: Solve for x
    x = 114,859,535,355.44/464,410.36
  6. Step 6: Final answer
    x = 247,323.37

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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.