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Finding the Fourth Proportional to 494,298.90, 741,405.15 and 161,874.90

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Solution

The fourth proportional to 494,298.90, 741,405.15 and 161,874.90 is: 242,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,298.90 : 741,405.15 = 161,874.90 : x
  2. Step 2: Convert to fraction form
    494,298.90/741,405.15 = 161,874.90/x
  3. Step 3: Cross multiply
    494,298.90x = 741,405.15 × 161,874.90
  4. Step 4: Simplify right side
    494,298.90x = 120,014,884,515.74
  5. Step 5: Solve for x
    x = 120,014,884,515.74/494,298.90
  6. Step 6: Final answer
    x = 242,798.20

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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.