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Finding the Fourth Proportional to 461,242.34, 691,868.17 and 161,730.14

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Solution

The fourth proportional to 461,242.34, 691,868.17 and 161,730.14 is: 242,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,242.34 : 691,868.17 = 161,730.14 : x
  2. Step 2: Convert to fraction form
    461,242.34/691,868.17 = 161,730.14/x
  3. Step 3: Cross multiply
    461,242.34x = 691,868.17 × 161,730.14
  4. Step 4: Simplify right side
    461,242.34x = 111,895,933,457.32
  5. Step 5: Solve for x
    x = 111,895,933,457.32/461,242.34
  6. Step 6: Final answer
    x = 242,596.84

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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.