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Finding the Fourth Proportional to 550,987.75, 760,321.38 and 309,223.64

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Solution

The fourth proportional to 550,987.75, 760,321.38 and 309,223.64 is: 426,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,987.75 : 760,321.38 = 309,223.64 : x
  2. Step 2: Convert to fraction form
    550,987.75/760,321.38 = 309,223.64/x
  3. Step 3: Cross multiply
    550,987.75x = 760,321.38 × 309,223.64
  4. Step 4: Simplify right side
    550,987.75x = 235,109,344,693.42
  5. Step 5: Solve for x
    x = 235,109,344,693.42/550,987.75
  6. Step 6: Final answer
    x = 426,705.21

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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.