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Finding the Fourth Proportional to 427,828.48, 590,217.92 and 257,968.24

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Solution

The fourth proportional to 427,828.48, 590,217.92 and 257,968.24 is: 355,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,828.48 : 590,217.92 = 257,968.24 : x
  2. Step 2: Convert to fraction form
    427,828.48/590,217.92 = 257,968.24/x
  3. Step 3: Cross multiply
    427,828.48x = 590,217.92 × 257,968.24
  4. Step 4: Simplify right side
    427,828.48x = 152,257,475,087.77
  5. Step 5: Solve for x
    x = 152,257,475,087.77/427,828.48
  6. Step 6: Final answer
    x = 355,884.39

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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.