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Finding the Fourth Proportional to 597,433.82, 824,763.38 and 404,858.90

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Solution

The fourth proportional to 597,433.82, 824,763.38 and 404,858.90 is: 558,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,433.82 : 824,763.38 = 404,858.90 : x
  2. Step 2: Convert to fraction form
    597,433.82/824,763.38 = 404,858.90/x
  3. Step 3: Cross multiply
    597,433.82x = 824,763.38 × 404,858.90
  4. Step 4: Simplify right side
    597,433.82x = 333,912,788,638.97
  5. Step 5: Solve for x
    x = 333,912,788,638.97/597,433.82
  6. Step 6: Final answer
    x = 558,911.77

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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.