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Finding the Fourth Proportional to 457,909.74, 631,802.70 and 274,208.64

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Solution

The fourth proportional to 457,909.74, 631,802.70 and 274,208.64 is: 378,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,909.74 : 631,802.70 = 274,208.64 : x
  2. Step 2: Convert to fraction form
    457,909.74/631,802.70 = 274,208.64/x
  3. Step 3: Cross multiply
    457,909.74x = 631,802.70 × 274,208.64
  4. Step 4: Simplify right side
    457,909.74x = 173,245,759,115.33
  5. Step 5: Solve for x
    x = 173,245,759,115.33/457,909.74
  6. Step 6: Final answer
    x = 378,340.41

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