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Finding the Fourth Proportional to 415,686.45, 623,713.28 and 202,336.05

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Solution

The fourth proportional to 415,686.45, 623,713.28 and 202,336.05 is: 303,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,686.45 : 623,713.28 = 202,336.05 : x
  2. Step 2: Convert to fraction form
    415,686.45/623,713.28 = 202,336.05/x
  3. Step 3: Cross multiply
    415,686.45x = 623,713.28 × 202,336.05
  4. Step 4: Simplify right side
    415,686.45x = 126,199,680,396.06
  5. Step 5: Solve for x
    x = 126,199,680,396.06/415,686.45
  6. Step 6: Final answer
    x = 303,593.44

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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.