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Finding the Fourth Proportional to 584,288, 806,317.50 and 316,016

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Solution

The fourth proportional to 584,288, 806,317.50 and 316,016 is: 436,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,288 : 806,317.50 = 316,016 : x
  2. Step 2: Convert to fraction form
    584,288/806,317.50 = 316,016/x
  3. Step 3: Cross multiply
    584,288x = 806,317.50 × 316,016
  4. Step 4: Simplify right side
    584,288x = 254,809,231,080
  5. Step 5: Solve for x
    x = 254,809,231,080/584,288
  6. Step 6: Final answer
    x = 436,102.11

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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.