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Finding the Fourth Proportional to 561,255.32, 841,882.98 and 206,115.68

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Solution

The fourth proportional to 561,255.32, 841,882.98 and 206,115.68 is: 309,173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,255.32 : 841,882.98 = 206,115.68 : x
  2. Step 2: Convert to fraction form
    561,255.32/841,882.98 = 206,115.68/x
  3. Step 3: Cross multiply
    561,255.32x = 841,882.98 × 206,115.68
  4. Step 4: Simplify right side
    561,255.32x = 173,525,282,903.13
  5. Step 5: Solve for x
    x = 173,525,282,903.13/561,255.32
  6. Step 6: Final answer
    x = 309,173.52

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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.