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Finding the Fourth Proportional to 360,410.48, 497,357.70 and 199,261.38

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Solution

The fourth proportional to 360,410.48, 497,357.70 and 199,261.38 is: 274,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,410.48 : 497,357.70 = 199,261.38 : x
  2. Step 2: Convert to fraction form
    360,410.48/497,357.70 = 199,261.38/x
  3. Step 3: Cross multiply
    360,410.48x = 497,357.70 × 199,261.38
  4. Step 4: Simplify right side
    360,410.48x = 99,104,181,655.63
  5. Step 5: Solve for x
    x = 99,104,181,655.63/360,410.48
  6. Step 6: Final answer
    x = 274,975.86

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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.