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Finding the Fourth Proportional to 569,043.78, 785,296.35 and 314,411.46

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Solution

The fourth proportional to 569,043.78, 785,296.35 and 314,411.46 is: 433,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,043.78 : 785,296.35 = 314,411.46 : x
  2. Step 2: Convert to fraction form
    569,043.78/785,296.35 = 314,411.46/x
  3. Step 3: Cross multiply
    569,043.78x = 785,296.35 × 314,411.46
  4. Step 4: Simplify right side
    569,043.78x = 246,906,171,936.17
  5. Step 5: Solve for x
    x = 246,906,171,936.17/569,043.78
  6. Step 6: Final answer
    x = 433,896.62

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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.