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Finding the Fourth Proportional to 454,506.60, 681,759.90 and 201,689.40

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Solution

The fourth proportional to 454,506.60, 681,759.90 and 201,689.40 is: 302,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,506.60 : 681,759.90 = 201,689.40 : x
  2. Step 2: Convert to fraction form
    454,506.60/681,759.90 = 201,689.40/x
  3. Step 3: Cross multiply
    454,506.60x = 681,759.90 × 201,689.40
  4. Step 4: Simplify right side
    454,506.60x = 137,503,745,175.06
  5. Step 5: Solve for x
    x = 137,503,745,175.06/454,506.60
  6. Step 6: Final answer
    x = 302,534.10

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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.