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Finding the Fourth Proportional to 427,523.40, 640,862.10 and 202,488.30

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Solution

The fourth proportional to 427,523.40, 640,862.10 and 202,488.30 is: 303,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,523.40 : 640,862.10 = 202,488.30 : x
  2. Step 2: Convert to fraction form
    427,523.40/640,862.10 = 202,488.30/x
  3. Step 3: Cross multiply
    427,523.40x = 640,862.10 × 202,488.30
  4. Step 4: Simplify right side
    427,523.40x = 129,767,077,163.43
  5. Step 5: Solve for x
    x = 129,767,077,163.43/427,523.40
  6. Step 6: Final answer
    x = 303,532.10

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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.