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Finding the Fourth Proportional to 307,816.30, 461,724.45 and 97,470.70

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Solution

The fourth proportional to 307,816.30, 461,724.45 and 97,470.70 is: 146,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,816.30 : 461,724.45 = 97,470.70 : x
  2. Step 2: Convert to fraction form
    307,816.30/461,724.45 = 97,470.70/x
  3. Step 3: Cross multiply
    307,816.30x = 461,724.45 × 97,470.70
  4. Step 4: Simplify right side
    307,816.30x = 45,004,605,348.62
  5. Step 5: Solve for x
    x = 45,004,605,348.62/307,816.30
  6. Step 6: Final answer
    x = 146,206.05

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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.