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Finding the Fourth Proportional to 441,632.34, 662,459.40 and 161,149.50

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Solution

The fourth proportional to 441,632.34, 662,459.40 and 161,149.50 is: 241,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,632.34 : 662,459.40 = 161,149.50 : x
  2. Step 2: Convert to fraction form
    441,632.34/662,459.40 = 161,149.50/x
  3. Step 3: Cross multiply
    441,632.34x = 662,459.40 × 161,149.50
  4. Step 4: Simplify right side
    441,632.34x = 106,755,001,080.30
  5. Step 5: Solve for x
    x = 106,755,001,080.30/441,632.34
  6. Step 6: Final answer
    x = 241,728.22

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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.