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Finding the Fourth Proportional to 590,564.80, 885,847.20 and 409,481.20

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Solution

The fourth proportional to 590,564.80, 885,847.20 and 409,481.20 is: 614,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,564.80 : 885,847.20 = 409,481.20 : x
  2. Step 2: Convert to fraction form
    590,564.80/885,847.20 = 409,481.20/x
  3. Step 3: Cross multiply
    590,564.80x = 885,847.20 × 409,481.20
  4. Step 4: Simplify right side
    590,564.80x = 362,737,774,472.64
  5. Step 5: Solve for x
    x = 362,737,774,472.64/590,564.80
  6. Step 6: Final answer
    x = 614,221.80

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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.