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Finding the Fourth Proportional to 450,733.88, 675,995.86 and 211,013.16

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Solution

The fourth proportional to 450,733.88, 675,995.86 and 211,013.16 is: 316,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,733.88 : 675,995.86 = 211,013.16 : x
  2. Step 2: Convert to fraction form
    450,733.88/675,995.86 = 211,013.16/x
  3. Step 3: Cross multiply
    450,733.88x = 675,995.86 × 211,013.16
  4. Step 4: Simplify right side
    450,733.88x = 142,644,022,037.99
  5. Step 5: Solve for x
    x = 142,644,022,037.99/450,733.88
  6. Step 6: Final answer
    x = 316,470.60

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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.