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Finding the Fourth Proportional to 362,006.24, 499,562.18 and 200,858.48

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Solution

The fourth proportional to 362,006.24, 499,562.18 and 200,858.48 is: 277,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,006.24 : 499,562.18 = 200,858.48 : x
  2. Step 2: Convert to fraction form
    362,006.24/499,562.18 = 200,858.48/x
  3. Step 3: Cross multiply
    362,006.24x = 499,562.18 × 200,858.48
  4. Step 4: Simplify right side
    362,006.24x = 100,341,300,140.29
  5. Step 5: Solve for x
    x = 100,341,300,140.29/362,006.24
  6. Step 6: Final answer
    x = 277,181.13

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1.5x scale

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.