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Finding the Fourth Proportional to 647,846.20, 972,206.70 and 363,536.20

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Solution

The fourth proportional to 647,846.20, 972,206.70 and 363,536.20 is: 545,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,846.20 : 972,206.70 = 363,536.20 : x
  2. Step 2: Convert to fraction form
    647,846.20/972,206.70 = 363,536.20/x
  3. Step 3: Cross multiply
    647,846.20x = 972,206.70 × 363,536.20
  4. Step 4: Simplify right side
    647,846.20x = 353,432,329,332.54
  5. Step 5: Solve for x
    x = 353,432,329,332.54/647,846.20
  6. Step 6: Final answer
    x = 545,549.75

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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.