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Finding the Fourth Proportional to 307,064.40, 460,942.20 and 237,253.20

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Solution

The fourth proportional to 307,064.40, 460,942.20 and 237,253.20 is: 356,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,064.40 : 460,942.20 = 237,253.20 : x
  2. Step 2: Convert to fraction form
    307,064.40/460,942.20 = 237,253.20/x
  3. Step 3: Cross multiply
    307,064.40x = 460,942.20 × 237,253.20
  4. Step 4: Simplify right side
    307,064.40x = 109,360,011,965.04
  5. Step 5: Solve for x
    x = 109,360,011,965.04/307,064.40
  6. Step 6: Final answer
    x = 356,146.83

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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.