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Finding the Fourth Proportional to 393,049.80, 589,574.70 and 364,181.40

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Solution

The fourth proportional to 393,049.80, 589,574.70 and 364,181.40 is: 546,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,049.80 : 589,574.70 = 364,181.40 : x
  2. Step 2: Convert to fraction form
    393,049.80/589,574.70 = 364,181.40/x
  3. Step 3: Cross multiply
    393,049.80x = 589,574.70 × 364,181.40
  4. Step 4: Simplify right side
    393,049.80x = 214,712,139,650.58
  5. Step 5: Solve for x
    x = 214,712,139,650.58/393,049.80
  6. Step 6: Final answer
    x = 546,272.10

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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.