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Finding the Fourth Proportional to 536,978.25, 741,011.04 and 295,259.13

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Solution

The fourth proportional to 536,978.25, 741,011.04 and 295,259.13 is: 407,447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,978.25 : 741,011.04 = 295,259.13 : x
  2. Step 2: Convert to fraction form
    536,978.25/741,011.04 = 295,259.13/x
  3. Step 3: Cross multiply
    536,978.25x = 741,011.04 × 295,259.13
  4. Step 4: Simplify right side
    536,978.25x = 218,790,274,990.80
  5. Step 5: Solve for x
    x = 218,790,274,990.80/536,978.25
  6. Step 6: Final answer
    x = 407,447.18

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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.