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Finding the Fourth Proportional to 577,166.97, 865,762.76 and 198,086.07

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Solution

The fourth proportional to 577,166.97, 865,762.76 and 198,086.07 is: 297,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,166.97 : 865,762.76 = 198,086.07 : x
  2. Step 2: Convert to fraction form
    577,166.97/865,762.76 = 198,086.07/x
  3. Step 3: Cross multiply
    577,166.97x = 865,762.76 × 198,086.07
  4. Step 4: Simplify right side
    577,166.97x = 171,495,542,680.75
  5. Step 5: Solve for x
    x = 171,495,542,680.75/577,166.97
  6. Step 6: Final answer
    x = 297,133.33

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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.