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Finding the Fourth Proportional to 614,764.48, 848,379.84 and 342,850

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Solution

The fourth proportional to 614,764.48, 848,379.84 and 342,850 is: 473,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,764.48 : 848,379.84 = 342,850 : x
  2. Step 2: Convert to fraction form
    614,764.48/848,379.84 = 342,850/x
  3. Step 3: Cross multiply
    614,764.48x = 848,379.84 × 342,850
  4. Step 4: Simplify right side
    614,764.48x = 290,867,028,144
  5. Step 5: Solve for x
    x = 290,867,028,144/614,764.48
  6. Step 6: Final answer
    x = 473,135.71

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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.