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Finding the Fourth Proportional to 483,221.80, 724,829.10 and 146,261.80

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Solution

The fourth proportional to 483,221.80, 724,829.10 and 146,261.80 is: 219,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,221.80 : 724,829.10 = 146,261.80 : x
  2. Step 2: Convert to fraction form
    483,221.80/724,829.10 = 146,261.80/x
  3. Step 3: Cross multiply
    483,221.80x = 724,829.10 × 146,261.80
  4. Step 4: Simplify right side
    483,221.80x = 106,014,808,858.38
  5. Step 5: Solve for x
    x = 106,014,808,858.38/483,221.80
  6. Step 6: Final answer
    x = 219,391.61

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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.