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Finding the Fourth Proportional to 307,579.70, 461,283.15 and 97,282.10

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Solution

The fourth proportional to 307,579.70, 461,283.15 and 97,282.10 is: 145,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,579.70 : 461,283.15 = 97,282.10 : x
  2. Step 2: Convert to fraction form
    307,579.70/461,283.15 = 97,282.10/x
  3. Step 3: Cross multiply
    307,579.70x = 461,283.15 × 97,282.10
  4. Step 4: Simplify right side
    307,579.70x = 44,874,593,526.62
  5. Step 5: Solve for x
    x = 44,874,593,526.62/307,579.70
  6. Step 6: Final answer
    x = 145,895.82

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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.