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Finding the Fourth Proportional to 597,296.40, 895,944.60 and 264,872.40

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Solution

The fourth proportional to 597,296.40, 895,944.60 and 264,872.40 is: 397,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,296.40 : 895,944.60 = 264,872.40 : x
  2. Step 2: Convert to fraction form
    597,296.40/895,944.60 = 264,872.40/x
  3. Step 3: Cross multiply
    597,296.40x = 895,944.60 × 264,872.40
  4. Step 4: Simplify right side
    597,296.40x = 237,310,996,469.04
  5. Step 5: Solve for x
    x = 237,310,996,469.04/597,296.40
  6. Step 6: Final answer
    x = 397,308.60

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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.