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Finding the Fourth Proportional to 584,594.30, 806,107.88 and 507,452.32

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Solution

The fourth proportional to 584,594.30, 806,107.88 and 507,452.32 is: 699,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,594.30 : 806,107.88 = 507,452.32 : x
  2. Step 2: Convert to fraction form
    584,594.30/806,107.88 = 507,452.32/x
  3. Step 3: Cross multiply
    584,594.30x = 806,107.88 × 507,452.32
  4. Step 4: Simplify right side
    584,594.30x = 409,061,313,876.28
  5. Step 5: Solve for x
    x = 409,061,313,876.28/584,594.30
  6. Step 6: Final answer
    x = 699,735.38

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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.