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Finding the Fourth Proportional to 584,861.50, 806,650.23 and 380,976.64

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Solution

The fourth proportional to 584,861.50, 806,650.23 and 380,976.64 is: 525,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,861.50 : 806,650.23 = 380,976.64 : x
  2. Step 2: Convert to fraction form
    584,861.50/806,650.23 = 380,976.64/x
  3. Step 3: Cross multiply
    584,861.50x = 806,650.23 × 380,976.64
  4. Step 4: Simplify right side
    584,861.50x = 307,314,894,280.63
  5. Step 5: Solve for x
    x = 307,314,894,280.63/584,861.50
  6. Step 6: Final answer
    x = 525,449.01

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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.