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Finding the Fourth Proportional to 569,182.34, 785,471.37 and 314,531.30

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Solution

The fourth proportional to 569,182.34, 785,471.37 and 314,531.30 is: 434,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,182.34 : 785,471.37 = 314,531.30 : x
  2. Step 2: Convert to fraction form
    569,182.34/785,471.37 = 314,531.30/x
  3. Step 3: Cross multiply
    569,182.34x = 785,471.37 × 314,531.30
  4. Step 4: Simplify right side
    569,182.34x = 247,055,331,118.88
  5. Step 5: Solve for x
    x = 247,055,331,118.88/569,182.34
  6. Step 6: Final answer
    x = 434,053.05

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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.