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Finding the Fourth Proportional to 577,540.28, 862,080.25 and 509,364.20

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Solution

The fourth proportional to 577,540.28, 862,080.25 and 509,364.20 is: 760,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,540.28 : 862,080.25 = 509,364.20 : x
  2. Step 2: Convert to fraction form
    577,540.28/862,080.25 = 509,364.20/x
  3. Step 3: Cross multiply
    577,540.28x = 862,080.25 × 509,364.20
  4. Step 4: Simplify right side
    577,540.28x = 439,112,816,877.05
  5. Step 5: Solve for x
    x = 439,112,816,877.05/577,540.28
  6. Step 6: Final answer
    x = 760,315.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.