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Finding the Fourth Proportional to 501,764.29, 692,409.45 and 297,824.11

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Solution

The fourth proportional to 501,764.29, 692,409.45 and 297,824.11 is: 410,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,764.29 : 692,409.45 = 297,824.11 : x
  2. Step 2: Convert to fraction form
    501,764.29/692,409.45 = 297,824.11/x
  3. Step 3: Cross multiply
    501,764.29x = 692,409.45 × 297,824.11
  4. Step 4: Simplify right side
    501,764.29x = 206,216,228,201.84
  5. Step 5: Solve for x
    x = 206,216,228,201.84/501,764.29
  6. Step 6: Final answer
    x = 410,982.27

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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.