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Finding the Fourth Proportional to 569,168.28, 785,426.72 and 314,514

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Solution

The fourth proportional to 569,168.28, 785,426.72 and 314,514 is: 434,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,168.28 : 785,426.72 = 314,514 : x
  2. Step 2: Convert to fraction form
    569,168.28/785,426.72 = 314,514/x
  3. Step 3: Cross multiply
    569,168.28x = 785,426.72 × 314,514
  4. Step 4: Simplify right side
    569,168.28x = 247,027,699,414.08
  5. Step 5: Solve for x
    x = 247,027,699,414.08/569,168.28
  6. Step 6: Final answer
    x = 434,015.23

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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.