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Finding the Fourth Proportional to 561,206.88, 841,784.81 and 206,194.82

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Solution

The fourth proportional to 561,206.88, 841,784.81 and 206,194.82 is: 309,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,206.88 : 841,784.81 = 206,194.82 : x
  2. Step 2: Convert to fraction form
    561,206.88/841,784.81 = 206,194.82/x
  3. Step 3: Cross multiply
    561,206.88x = 841,784.81 × 206,194.82
  4. Step 4: Simplify right side
    561,206.88x = 173,571,662,136.79
  5. Step 5: Solve for x
    x = 173,571,662,136.79/561,206.88
  6. Step 6: Final answer
    x = 309,282.85

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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.