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Finding the Fourth Proportional to 569,566.88, 785,942.16 and 314,876.96

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Solution

The fourth proportional to 569,566.88, 785,942.16 and 314,876.96 is: 434,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,566.88 : 785,942.16 = 314,876.96 : x
  2. Step 2: Convert to fraction form
    569,566.88/785,942.16 = 314,876.96/x
  3. Step 3: Cross multiply
    569,566.88x = 785,942.16 × 314,876.96
  4. Step 4: Simplify right side
    569,566.88x = 247,475,078,076.63
  5. Step 5: Solve for x
    x = 247,475,078,076.63/569,566.88
  6. Step 6: Final answer
    x = 434,496.96

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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.