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Finding the Fourth Proportional to 463,165.64, 638,965.70 and 272,092.84

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Solution

The fourth proportional to 463,165.64, 638,965.70 and 272,092.84 is: 375,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,165.64 : 638,965.70 = 272,092.84 : x
  2. Step 2: Convert to fraction form
    463,165.64/638,965.70 = 272,092.84/x
  3. Step 3: Cross multiply
    463,165.64x = 638,965.70 × 272,092.84
  4. Step 4: Simplify right side
    463,165.64x = 173,857,991,975.59
  5. Step 5: Solve for x
    x = 173,857,991,975.59/463,165.64
  6. Step 6: Final answer
    x = 375,368.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.