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Finding the Fourth Proportional to 577,314.84, 865,750.80 and 198,164.92

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Solution

The fourth proportional to 577,314.84, 865,750.80 and 198,164.92 is: 297,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,314.84 : 865,750.80 = 198,164.92 : x
  2. Step 2: Convert to fraction form
    577,314.84/865,750.80 = 198,164.92/x
  3. Step 3: Cross multiply
    577,314.84x = 865,750.80 × 198,164.92
  4. Step 4: Simplify right side
    577,314.84x = 171,561,438,021.94
  5. Step 5: Solve for x
    x = 171,561,438,021.94/577,314.84
  6. Step 6: Final answer
    x = 297,171.36

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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.