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Finding the Fourth Proportional to 384,049.80, 576,074.70 and 356,056.20

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Solution

The fourth proportional to 384,049.80, 576,074.70 and 356,056.20 is: 534,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,049.80 : 576,074.70 = 356,056.20 : x
  2. Step 2: Convert to fraction form
    384,049.80/576,074.70 = 356,056.20/x
  3. Step 3: Cross multiply
    384,049.80x = 576,074.70 × 356,056.20
  4. Step 4: Simplify right side
    384,049.80x = 205,114,968,598.14
  5. Step 5: Solve for x
    x = 205,114,968,598.14/384,049.80
  6. Step 6: Final answer
    x = 534,084.30

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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.