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Finding the Fourth Proportional to 597,980.52, 894,243.77 and 446,284.74

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Solution

The fourth proportional to 597,980.52, 894,243.77 and 446,284.74 is: 667,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,980.52 : 894,243.77 = 446,284.74 : x
  2. Step 2: Convert to fraction form
    597,980.52/894,243.77 = 446,284.74/x
  3. Step 3: Cross multiply
    597,980.52x = 894,243.77 × 446,284.74
  4. Step 4: Simplify right side
    597,980.52x = 399,087,346,159.65
  5. Step 5: Solve for x
    x = 399,087,346,159.65/597,980.52
  6. Step 6: Final answer
    x = 667,391.88

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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.