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Finding the Fourth Proportional to 415,749.20, 623,623.80 and 205,797.20

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Solution

The fourth proportional to 415,749.20, 623,623.80 and 205,797.20 is: 308,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,749.20 : 623,623.80 = 205,797.20 : x
  2. Step 2: Convert to fraction form
    415,749.20/623,623.80 = 205,797.20/x
  3. Step 3: Cross multiply
    415,749.20x = 623,623.80 × 205,797.20
  4. Step 4: Simplify right side
    415,749.20x = 128,340,031,893.36
  5. Step 5: Solve for x
    x = 128,340,031,893.36/415,749.20
  6. Step 6: Final answer
    x = 308,695.80

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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.