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Finding the Fourth Proportional to 415,234.54, 622,918.89 and 175,384.50

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Solution

The fourth proportional to 415,234.54, 622,918.89 and 175,384.50 is: 263,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,234.54 : 622,918.89 = 175,384.50 : x
  2. Step 2: Convert to fraction form
    415,234.54/622,918.89 = 175,384.50/x
  3. Step 3: Cross multiply
    415,234.54x = 622,918.89 × 175,384.50
  4. Step 4: Simplify right side
    415,234.54x = 109,250,315,727.26
  5. Step 5: Solve for x
    x = 109,250,315,727.26/415,234.54
  6. Step 6: Final answer
    x = 263,105.08

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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.