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Finding the Fourth Proportional to 510,914.68, 705,055.26 and 284,561.80

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Solution

The fourth proportional to 510,914.68, 705,055.26 and 284,561.80 is: 392,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,914.68 : 705,055.26 = 284,561.80 : x
  2. Step 2: Convert to fraction form
    510,914.68/705,055.26 = 284,561.80/x
  3. Step 3: Cross multiply
    510,914.68x = 705,055.26 × 284,561.80
  4. Step 4: Simplify right side
    510,914.68x = 200,631,793,885.07
  5. Step 5: Solve for x
    x = 200,631,793,885.07/510,914.68
  6. Step 6: Final answer
    x = 392,691.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.