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Finding the Fourth Proportional to 504,174.52, 695,775.70 and 277,834.60

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Solution

The fourth proportional to 504,174.52, 695,775.70 and 277,834.60 is: 383,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,174.52 : 695,775.70 = 277,834.60 : x
  2. Step 2: Convert to fraction form
    504,174.52/695,775.70 = 277,834.60/x
  3. Step 3: Cross multiply
    504,174.52x = 695,775.70 × 277,834.60
  4. Step 4: Simplify right side
    504,174.52x = 193,310,563,299.22
  5. Step 5: Solve for x
    x = 193,310,563,299.22/504,174.52
  6. Step 6: Final answer
    x = 383,419.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.