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Finding the Fourth Proportional to 457,653.54, 685,705.29 and 277,193.69

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Solution

The fourth proportional to 457,653.54, 685,705.29 and 277,193.69 is: 415,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,653.54 : 685,705.29 = 277,193.69 : x
  2. Step 2: Convert to fraction form
    457,653.54/685,705.29 = 277,193.69/x
  3. Step 3: Cross multiply
    457,653.54x = 685,705.29 × 277,193.69
  4. Step 4: Simplify right side
    457,653.54x = 190,073,174,773.13
  5. Step 5: Solve for x
    x = 190,073,174,773.13/457,653.54
  6. Step 6: Final answer
    x = 415,321.11

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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.