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Finding the Fourth Proportional to 569,169.24, 785,453.82 and 314,520.42

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Solution

The fourth proportional to 569,169.24, 785,453.82 and 314,520.42 is: 434,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,169.24 : 785,453.82 = 314,520.42 : x
  2. Step 2: Convert to fraction form
    569,169.24/785,453.82 = 314,520.42/x
  3. Step 3: Cross multiply
    569,169.24x = 785,453.82 × 314,520.42
  4. Step 4: Simplify right side
    569,169.24x = 247,041,265,357.00
  5. Step 5: Solve for x
    x = 247,041,265,357.00/569,169.24
  6. Step 6: Final answer
    x = 434,038.33

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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.