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Finding the Fourth Proportional to 569,478.94, 786,078.82 and 327,857.80

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Solution

The fourth proportional to 569,478.94, 786,078.82 and 327,857.80 is: 452,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,478.94 : 786,078.82 = 327,857.80 : x
  2. Step 2: Convert to fraction form
    569,478.94/786,078.82 = 327,857.80/x
  3. Step 3: Cross multiply
    569,478.94x = 786,078.82 × 327,857.80
  4. Step 4: Simplify right side
    569,478.94x = 257,722,072,551.80
  5. Step 5: Solve for x
    x = 257,722,072,551.80/569,478.94
  6. Step 6: Final answer
    x = 452,557.69

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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.