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Finding the Fourth Proportional to 360,816.66, 497,914.70 and 199,678.50

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Solution

The fourth proportional to 360,816.66, 497,914.70 and 199,678.50 is: 275,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,816.66 : 497,914.70 = 199,678.50 : x
  2. Step 2: Convert to fraction form
    360,816.66/497,914.70 = 199,678.50/x
  3. Step 3: Cross multiply
    360,816.66x = 497,914.70 × 199,678.50
  4. Step 4: Simplify right side
    360,816.66x = 99,422,859,425.56
  5. Step 5: Solve for x
    x = 99,422,859,425.56/360,816.66
  6. Step 6: Final answer
    x = 275,549.53

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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.