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Finding the Fourth Proportional to 546,830.33, 754,694.01 and 317,338.34

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Solution

The fourth proportional to 546,830.33, 754,694.01 and 317,338.34 is: 437,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,830.33 : 754,694.01 = 317,338.34 : x
  2. Step 2: Convert to fraction form
    546,830.33/754,694.01 = 317,338.34/x
  3. Step 3: Cross multiply
    546,830.33x = 754,694.01 × 317,338.34
  4. Step 4: Simplify right side
    546,830.33x = 239,493,340,567.87
  5. Step 5: Solve for x
    x = 239,493,340,567.87/546,830.33
  6. Step 6: Final answer
    x = 437,966.46

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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.