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Finding the Fourth Proportional to 364,329.20, 546,493.80 and 206,865.20

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Solution

The fourth proportional to 364,329.20, 546,493.80 and 206,865.20 is: 310,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,329.20 : 546,493.80 = 206,865.20 : x
  2. Step 2: Convert to fraction form
    364,329.20/546,493.80 = 206,865.20/x
  3. Step 3: Cross multiply
    364,329.20x = 546,493.80 × 206,865.20
  4. Step 4: Simplify right side
    364,329.20x = 113,050,549,235.76
  5. Step 5: Solve for x
    x = 113,050,549,235.76/364,329.20
  6. Step 6: Final answer
    x = 310,297.80

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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.