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Finding the Fourth Proportional to 584,264, 806,284.32 and 315,992

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Solution

The fourth proportional to 584,264, 806,284.32 and 315,992 is: 436,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,264 : 806,284.32 = 315,992 : x
  2. Step 2: Convert to fraction form
    584,264/806,284.32 = 315,992/x
  3. Step 3: Cross multiply
    584,264x = 806,284.32 × 315,992
  4. Step 4: Simplify right side
    584,264x = 254,779,394,845.44
  5. Step 5: Solve for x
    x = 254,779,394,845.44/584,264
  6. Step 6: Final answer
    x = 436,068.96

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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.