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Finding the Fourth Proportional to 450,097.16, 674,937.95 and 165,716.28

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Solution

The fourth proportional to 450,097.16, 674,937.95 and 165,716.28 is: 248,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,097.16 : 674,937.95 = 165,716.28 : x
  2. Step 2: Convert to fraction form
    450,097.16/674,937.95 = 165,716.28/x
  3. Step 3: Cross multiply
    450,097.16x = 674,937.95 × 165,716.28
  4. Step 4: Simplify right side
    450,097.16x = 111,848,205,476.25
  5. Step 5: Solve for x
    x = 111,848,205,476.25/450,097.16
  6. Step 6: Final answer
    x = 248,497.92

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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.