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Finding the Fourth Proportional to 385,003.80, 576,412.20 and 364,057.20

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Solution

The fourth proportional to 385,003.80, 576,412.20 and 364,057.20 is: 545,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,003.80 : 576,412.20 = 364,057.20 : x
  2. Step 2: Convert to fraction form
    385,003.80/576,412.20 = 364,057.20/x
  3. Step 3: Cross multiply
    385,003.80x = 576,412.20 × 364,057.20
  4. Step 4: Simplify right side
    385,003.80x = 209,847,011,577.84
  5. Step 5: Solve for x
    x = 209,847,011,577.84/385,003.80
  6. Step 6: Final answer
    x = 545,051.79

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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.