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Finding the Fourth Proportional to 427,019.01, 589,344.84 and 245,727.24

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Solution

The fourth proportional to 427,019.01, 589,344.84 and 245,727.24 is: 339,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,019.01 : 589,344.84 = 245,727.24 : x
  2. Step 2: Convert to fraction form
    427,019.01/589,344.84 = 245,727.24/x
  3. Step 3: Cross multiply
    427,019.01x = 589,344.84 × 245,727.24
  4. Step 4: Simplify right side
    427,019.01x = 144,818,080,941.44
  5. Step 5: Solve for x
    x = 144,818,080,941.44/427,019.01
  6. Step 6: Final answer
    x = 339,137.32

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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.