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Finding the Fourth Proportional to 272,299.80, 407,643.30 and 202,488.60

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Solution

The fourth proportional to 272,299.80, 407,643.30 and 202,488.60 is: 303,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,299.80 : 407,643.30 = 202,488.60 : x
  2. Step 2: Convert to fraction form
    272,299.80/407,643.30 = 202,488.60/x
  3. Step 3: Cross multiply
    272,299.80x = 407,643.30 × 202,488.60
  4. Step 4: Simplify right side
    272,299.80x = 82,543,121,116.38
  5. Step 5: Solve for x
    x = 82,543,121,116.38/272,299.80
  6. Step 6: Final answer
    x = 303,133.24

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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.