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Finding the Fourth Proportional to 494,264.12, 741,483.63 and 186,509.48

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Solution

The fourth proportional to 494,264.12, 741,483.63 and 186,509.48 is: 279,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,264.12 : 741,483.63 = 186,509.48 : x
  2. Step 2: Convert to fraction form
    494,264.12/741,483.63 = 186,509.48/x
  3. Step 3: Cross multiply
    494,264.12x = 741,483.63 × 186,509.48
  4. Step 4: Simplify right side
    494,264.12x = 138,293,726,259.81
  5. Step 5: Solve for x
    x = 138,293,726,259.81/494,264.12
  6. Step 6: Final answer
    x = 279,797.22

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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.