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Finding the Fourth Proportional to 307,674.60, 461,123.10 and 149,562.60

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Solution

The fourth proportional to 307,674.60, 461,123.10 and 149,562.60 is: 224,154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,674.60 : 461,123.10 = 149,562.60 : x
  2. Step 2: Convert to fraction form
    307,674.60/461,123.10 = 149,562.60/x
  3. Step 3: Cross multiply
    307,674.60x = 461,123.10 × 149,562.60
  4. Step 4: Simplify right side
    307,674.60x = 68,966,769,756.06
  5. Step 5: Solve for x
    x = 68,966,769,756.06/307,674.60
  6. Step 6: Final answer
    x = 224,154.90

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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.