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Finding the Fourth Proportional to 597,976, 894,237 and 446,280.16

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Solution

The fourth proportional to 597,976, 894,237 and 446,280.16 is: 667,385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,976 : 894,237 = 446,280.16 : x
  2. Step 2: Convert to fraction form
    597,976/894,237 = 446,280.16/x
  3. Step 3: Cross multiply
    597,976x = 894,237 × 446,280.16
  4. Step 4: Simplify right side
    597,976x = 399,080,231,437.92
  5. Step 5: Solve for x
    x = 399,080,231,437.92/597,976
  6. Step 6: Final answer
    x = 667,385.03

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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.