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Finding the Fourth Proportional to 415,391.04, 623,031.20 and 115,846.54

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Solution

The fourth proportional to 415,391.04, 623,031.20 and 115,846.54 is: 173,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,391.04 : 623,031.20 = 115,846.54 : x
  2. Step 2: Convert to fraction form
    415,391.04/623,031.20 = 115,846.54/x
  3. Step 3: Cross multiply
    415,391.04x = 623,031.20 × 115,846.54
  4. Step 4: Simplify right side
    415,391.04x = 72,176,008,832.05
  5. Step 5: Solve for x
    x = 72,176,008,832.05/415,391.04
  6. Step 6: Final answer
    x = 173,754.37

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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.