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Finding the Fourth Proportional to 364,048.80, 546,073.20 and 347,719.20

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Solution

The fourth proportional to 364,048.80, 546,073.20 and 347,719.20 is: 521,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,048.80 : 546,073.20 = 347,719.20 : x
  2. Step 2: Convert to fraction form
    364,048.80/546,073.20 = 347,719.20/x
  3. Step 3: Cross multiply
    364,048.80x = 546,073.20 × 347,719.20
  4. Step 4: Simplify right side
    364,048.80x = 189,880,136,245.44
  5. Step 5: Solve for x
    x = 189,880,136,245.44/364,048.80
  6. Step 6: Final answer
    x = 521,578.80

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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.