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Finding the Fourth Proportional to 464,773.85, 697,357.60 and 254,165.75

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Solution

The fourth proportional to 464,773.85, 697,357.60 and 254,165.75 is: 381,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,773.85 : 697,357.60 = 254,165.75 : x
  2. Step 2: Convert to fraction form
    464,773.85/697,357.60 = 254,165.75/x
  3. Step 3: Cross multiply
    464,773.85x = 697,357.60 × 254,165.75
  4. Step 4: Simplify right side
    464,773.85x = 177,244,413,300.00
  5. Step 5: Solve for x
    x = 177,244,413,300.00/464,773.85
  6. Step 6: Final answer
    x = 381,356.26

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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.