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Finding the Fourth Proportional to 519,326.43, 778,911.67 and 164,294.31

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Solution

The fourth proportional to 519,326.43, 778,911.67 and 164,294.31 is: 246,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,326.43 : 778,911.67 = 164,294.31 : x
  2. Step 2: Convert to fraction form
    519,326.43/778,911.67 = 164,294.31/x
  3. Step 3: Cross multiply
    519,326.43x = 778,911.67 × 164,294.31
  4. Step 4: Simplify right side
    519,326.43x = 127,970,755,373.60
  5. Step 5: Solve for x
    x = 127,970,755,373.60/519,326.43
  6. Step 6: Final answer
    x = 246,416.80

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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.