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Finding the Fourth Proportional to 298,463.04, 411,879.36 and 164,327.04

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Solution

The fourth proportional to 298,463.04, 411,879.36 and 164,327.04 is: 226,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,463.04 : 411,879.36 = 164,327.04 : x
  2. Step 2: Convert to fraction form
    298,463.04/411,879.36 = 164,327.04/x
  3. Step 3: Cross multiply
    298,463.04x = 411,879.36 × 164,327.04
  4. Step 4: Simplify right side
    298,463.04x = 67,682,916,065.89
  5. Step 5: Solve for x
    x = 67,682,916,065.89/298,463.04
  6. Step 6: Final answer
    x = 226,771.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.