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Finding the Fourth Proportional to 284,645.02, 426,597.12 and 115,967.80

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Solution

The fourth proportional to 284,645.02, 426,597.12 and 115,967.80 is: 173,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,645.02 : 426,597.12 = 115,967.80 : x
  2. Step 2: Convert to fraction form
    284,645.02/426,597.12 = 115,967.80/x
  3. Step 3: Cross multiply
    284,645.02x = 426,597.12 × 115,967.80
  4. Step 4: Simplify right side
    284,645.02x = 49,471,529,492.74
  5. Step 5: Solve for x
    x = 49,471,529,492.74/284,645.02
  6. Step 6: Final answer
    x = 173,800.79

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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.