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Finding the Fourth Proportional to 604,942.56, 907,344.72 and 161,745.12

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Solution

The fourth proportional to 604,942.56, 907,344.72 and 161,745.12 is: 242,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,942.56 : 907,344.72 = 161,745.12 : x
  2. Step 2: Convert to fraction form
    604,942.56/907,344.72 = 161,745.12/x
  3. Step 3: Cross multiply
    604,942.56x = 907,344.72 × 161,745.12
  4. Step 4: Simplify right side
    604,942.56x = 146,758,580,617.77
  5. Step 5: Solve for x
    x = 146,758,580,617.77/604,942.56
  6. Step 6: Final answer
    x = 242,599.20

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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.