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Finding the Fourth Proportional to 577,341.09, 865,796.22 and 198,154.23

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Solution

The fourth proportional to 577,341.09, 865,796.22 and 198,154.23 is: 297,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,341.09 : 865,796.22 = 198,154.23 : x
  2. Step 2: Convert to fraction form
    577,341.09/865,796.22 = 198,154.23/x
  3. Step 3: Cross multiply
    577,341.09x = 865,796.22 × 198,154.23
  4. Step 4: Simplify right side
    577,341.09x = 171,561,183,311.01
  5. Step 5: Solve for x
    x = 171,561,183,311.01/577,341.09
  6. Step 6: Final answer
    x = 297,157.41

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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.