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Finding the Fourth Proportional to 504,563.87, 696,466.82 and 300,678.77

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Solution

The fourth proportional to 504,563.87, 696,466.82 and 300,678.77 is: 415,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,563.87 : 696,466.82 = 300,678.77 : x
  2. Step 2: Convert to fraction form
    504,563.87/696,466.82 = 300,678.77/x
  3. Step 3: Cross multiply
    504,563.87x = 696,466.82 × 300,678.77
  4. Step 4: Simplify right side
    504,563.87x = 209,412,789,276.28
  5. Step 5: Solve for x
    x = 209,412,789,276.28/504,563.87
  6. Step 6: Final answer
    x = 415,037.22

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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.