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Finding the Fourth Proportional to 584,625.24, 806,782.38 and 316,353.24

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Solution

The fourth proportional to 584,625.24, 806,782.38 and 316,353.24 is: 436,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,625.24 : 806,782.38 = 316,353.24 : x
  2. Step 2: Convert to fraction form
    584,625.24/806,782.38 = 316,353.24/x
  3. Step 3: Cross multiply
    584,625.24x = 806,782.38 × 316,353.24
  4. Step 4: Simplify right side
    584,625.24x = 255,228,219,887.91
  5. Step 5: Solve for x
    x = 255,228,219,887.91/584,625.24
  6. Step 6: Final answer
    x = 436,567.23

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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.