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Finding the Fourth Proportional to 503,513.16, 694,866.50 and 274,059.36

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Solution

The fourth proportional to 503,513.16, 694,866.50 and 274,059.36 is: 378,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,513.16 : 694,866.50 = 274,059.36 : x
  2. Step 2: Convert to fraction form
    503,513.16/694,866.50 = 274,059.36/x
  3. Step 3: Cross multiply
    503,513.16x = 694,866.50 × 274,059.36
  4. Step 4: Simplify right side
    503,513.16x = 190,434,663,430.81
  5. Step 5: Solve for x
    x = 190,434,663,430.81/503,513.16
  6. Step 6: Final answer
    x = 378,211.89

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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.