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Finding the Fourth Proportional to 433,580.70, 650,079.45 and 231,210.30

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Solution

The fourth proportional to 433,580.70, 650,079.45 and 231,210.30 is: 346,659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,580.70 : 650,079.45 = 231,210.30 : x
  2. Step 2: Convert to fraction form
    433,580.70/650,079.45 = 231,210.30/x
  3. Step 3: Cross multiply
    433,580.70x = 650,079.45 × 231,210.30
  4. Step 4: Simplify right side
    433,580.70x = 150,305,064,658.34
  5. Step 5: Solve for x
    x = 150,305,064,658.34/433,580.70
  6. Step 6: Final answer
    x = 346,659.95

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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.