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Finding the Fourth Proportional to 307,822.98, 461,805.60 and 97,460.92

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Solution

The fourth proportional to 307,822.98, 461,805.60 and 97,460.92 is: 146,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,822.98 : 461,805.60 = 97,460.92 : x
  2. Step 2: Convert to fraction form
    307,822.98/461,805.60 = 97,460.92/x
  3. Step 3: Cross multiply
    307,822.98x = 461,805.60 × 97,460.92
  4. Step 4: Simplify right side
    307,822.98x = 45,007,999,579.89
  5. Step 5: Solve for x
    x = 45,007,999,579.89/307,822.98
  6. Step 6: Final answer
    x = 146,213.90

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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.