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Finding the Fourth Proportional to 407,796.80, 572,096.50 and 407,796.80

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Solution

The fourth proportional to 407,796.80, 572,096.50 and 407,796.80 is: 572,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,796.80 : 572,096.50 = 407,796.80 : x
  2. Step 2: Convert to fraction form
    407,796.80/572,096.50 = 407,796.80/x
  3. Step 3: Cross multiply
    407,796.80x = 572,096.50 × 407,796.80
  4. Step 4: Simplify right side
    407,796.80x = 233,299,121,991.20
  5. Step 5: Solve for x
    x = 233,299,121,991.20/407,796.80
  6. Step 6: Final answer
    x = 572,096.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.