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Finding the Fourth Proportional to 614,743.44, 848,349.66 and 342,828.54

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Solution

The fourth proportional to 614,743.44, 848,349.66 and 342,828.54 is: 473,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,743.44 : 848,349.66 = 342,828.54 : x
  2. Step 2: Convert to fraction form
    614,743.44/848,349.66 = 342,828.54/x
  3. Step 3: Cross multiply
    614,743.44x = 848,349.66 × 342,828.54
  4. Step 4: Simplify right side
    614,743.44x = 290,838,475,347.30
  5. Step 5: Solve for x
    x = 290,838,475,347.30/614,743.44
  6. Step 6: Final answer
    x = 473,105.46

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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.