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Finding the Fourth Proportional to 443,323.30, 664,000.80 and 364,591.30

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Solution

The fourth proportional to 443,323.30, 664,000.80 and 364,591.30 is: 546,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,323.30 : 664,000.80 = 364,591.30 : x
  2. Step 2: Convert to fraction form
    443,323.30/664,000.80 = 364,591.30/x
  3. Step 3: Cross multiply
    443,323.30x = 664,000.80 × 364,591.30
  4. Step 4: Simplify right side
    443,323.30x = 242,088,914,873.04
  5. Step 5: Solve for x
    x = 242,088,914,873.04/443,323.30
  6. Step 6: Final answer
    x = 546,077.58

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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.