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Finding the Fourth Proportional to 512,017.28, 706,582.66 and 297,283.04

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Solution

The fourth proportional to 512,017.28, 706,582.66 and 297,283.04 is: 410,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,017.28 : 706,582.66 = 297,283.04 : x
  2. Step 2: Convert to fraction form
    512,017.28/706,582.66 = 297,283.04/x
  3. Step 3: Cross multiply
    512,017.28x = 706,582.66 × 297,283.04
  4. Step 4: Simplify right side
    512,017.28x = 210,055,041,176.09
  5. Step 5: Solve for x
    x = 210,055,041,176.09/512,017.28
  6. Step 6: Final answer
    x = 410,249.91

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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.