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Finding the Fourth Proportional to 298,505.88, 411,903.36 and 177,686.28

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Solution

The fourth proportional to 298,505.88, 411,903.36 and 177,686.28 is: 245,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,505.88 : 411,903.36 = 177,686.28 : x
  2. Step 2: Convert to fraction form
    298,505.88/411,903.36 = 177,686.28/x
  3. Step 3: Cross multiply
    298,505.88x = 411,903.36 × 177,686.28
  4. Step 4: Simplify right side
    298,505.88x = 73,189,575,757.90
  5. Step 5: Solve for x
    x = 73,189,575,757.90/298,505.88
  6. Step 6: Final answer
    x = 245,186.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.