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Finding the Fourth Proportional to 547,709.80, 820,182.30 and 359,703.40

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Solution

The fourth proportional to 547,709.80, 820,182.30 and 359,703.40 is: 538,647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,709.80 : 820,182.30 = 359,703.40 : x
  2. Step 2: Convert to fraction form
    547,709.80/820,182.30 = 359,703.40/x
  3. Step 3: Cross multiply
    547,709.80x = 820,182.30 × 359,703.40
  4. Step 4: Simplify right side
    547,709.80x = 295,022,361,929.82
  5. Step 5: Solve for x
    x = 295,022,361,929.82/547,709.80
  6. Step 6: Final answer
    x = 538,647.22

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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.