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Finding the Fourth Proportional to 569,026.14, 785,264.31 and 314,383.20

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Solution

The fourth proportional to 569,026.14, 785,264.31 and 314,383.20 is: 433,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,026.14 : 785,264.31 = 314,383.20 : x
  2. Step 2: Convert to fraction form
    569,026.14/785,264.31 = 314,383.20/x
  3. Step 3: Cross multiply
    569,026.14x = 785,264.31 × 314,383.20
  4. Step 4: Simplify right side
    569,026.14x = 246,873,906,623.59
  5. Step 5: Solve for x
    x = 246,873,906,623.59/569,026.14
  6. Step 6: Final answer
    x = 433,853.37

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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.