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Finding the Fourth Proportional to 307,782.30, 460,623.15 and 257,918.70

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Solution

The fourth proportional to 307,782.30, 460,623.15 and 257,918.70 is: 385,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,782.30 : 460,623.15 = 257,918.70 : x
  2. Step 2: Convert to fraction form
    307,782.30/460,623.15 = 257,918.70/x
  3. Step 3: Cross multiply
    307,782.30x = 460,623.15 × 257,918.70
  4. Step 4: Simplify right side
    307,782.30x = 118,803,324,037.91
  5. Step 5: Solve for x
    x = 118,803,324,037.91/307,782.30
  6. Step 6: Final answer
    x = 385,997.91

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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.