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Finding the Fourth Proportional to 329,732.20, 494,598.30 and 307,613.80

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Solution

The fourth proportional to 329,732.20, 494,598.30 and 307,613.80 is: 461,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,732.20 : 494,598.30 = 307,613.80 : x
  2. Step 2: Convert to fraction form
    329,732.20/494,598.30 = 307,613.80/x
  3. Step 3: Cross multiply
    329,732.20x = 494,598.30 × 307,613.80
  4. Step 4: Simplify right side
    329,732.20x = 152,145,262,536.54
  5. Step 5: Solve for x
    x = 152,145,262,536.54/329,732.20
  6. Step 6: Final answer
    x = 461,420.70

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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.