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Finding the Fourth Proportional to 500,556.30, 749,946.69 and 415,819.50

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Solution

The fourth proportional to 500,556.30, 749,946.69 and 415,819.50 is: 622,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,556.30 : 749,946.69 = 415,819.50 : x
  2. Step 2: Convert to fraction form
    500,556.30/749,946.69 = 415,819.50/x
  3. Step 3: Cross multiply
    500,556.30x = 749,946.69 × 415,819.50
  4. Step 4: Simplify right side
    500,556.30x = 311,842,457,662.46
  5. Step 5: Solve for x
    x = 311,842,457,662.46/500,556.30
  6. Step 6: Final answer
    x = 622,991.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.