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Finding the Fourth Proportional to 272,310.30, 408,465.45 and 202,326.30

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Solution

The fourth proportional to 272,310.30, 408,465.45 and 202,326.30 is: 303,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,310.30 : 408,465.45 = 202,326.30 : x
  2. Step 2: Convert to fraction form
    272,310.30/408,465.45 = 202,326.30/x
  3. Step 3: Cross multiply
    272,310.30x = 408,465.45 × 202,326.30
  4. Step 4: Simplify right side
    272,310.30x = 82,643,303,176.34
  5. Step 5: Solve for x
    x = 82,643,303,176.34/272,310.30
  6. Step 6: Final answer
    x = 303,489.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.