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Finding the Fourth Proportional to 580,037.90, 800,548.49 and 338,320.46

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Solution

The fourth proportional to 580,037.90, 800,548.49 and 338,320.46 is: 466,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,037.90 : 800,548.49 = 338,320.46 : x
  2. Step 2: Convert to fraction form
    580,037.90/800,548.49 = 338,320.46/x
  3. Step 3: Cross multiply
    580,037.90x = 800,548.49 × 338,320.46
  4. Step 4: Simplify right side
    580,037.90x = 270,841,927,694.76
  5. Step 5: Solve for x
    x = 270,841,927,694.76/580,037.90
  6. Step 6: Final answer
    x = 466,938.33

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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.