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Finding the Fourth Proportional to 454,057.60, 681,232.20 and 201,240.40

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Solution

The fourth proportional to 454,057.60, 681,232.20 and 201,240.40 is: 301,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,057.60 : 681,232.20 = 201,240.40 : x
  2. Step 2: Convert to fraction form
    454,057.60/681,232.20 = 201,240.40/x
  3. Step 3: Cross multiply
    454,057.60x = 681,232.20 × 201,240.40
  4. Step 4: Simplify right side
    454,057.60x = 137,091,440,420.88
  5. Step 5: Solve for x
    x = 137,091,440,420.88/454,057.60
  6. Step 6: Final answer
    x = 301,925.22

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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.