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Finding the Fourth Proportional to 519,265.80, 778,971.60 and 164,242.80

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Solution

The fourth proportional to 519,265.80, 778,971.60 and 164,242.80 is: 246,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,265.80 : 778,971.60 = 164,242.80 : x
  2. Step 2: Convert to fraction form
    519,265.80/778,971.60 = 164,242.80/x
  3. Step 3: Cross multiply
    519,265.80x = 778,971.60 × 164,242.80
  4. Step 4: Simplify right side
    519,265.80x = 127,940,476,704.48
  5. Step 5: Solve for x
    x = 127,940,476,704.48/519,265.80
  6. Step 6: Final answer
    x = 246,387.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.