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Finding the Fourth Proportional to 272,344.80, 407,710.80 and 202,533.60

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Solution

The fourth proportional to 272,344.80, 407,710.80 and 202,533.60 is: 303,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,344.80 : 407,710.80 = 202,533.60 : x
  2. Step 2: Convert to fraction form
    272,344.80/407,710.80 = 202,533.60/x
  3. Step 3: Cross multiply
    272,344.80x = 407,710.80 × 202,533.60
  4. Step 4: Simplify right side
    272,344.80x = 82,575,136,082.88
  5. Step 5: Solve for x
    x = 82,575,136,082.88/272,344.80
  6. Step 6: Final answer
    x = 303,200.71

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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.