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Finding the Fourth Proportional to 462,099.20, 637,345.76 and 397,675.58

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Solution

The fourth proportional to 462,099.20, 637,345.76 and 397,675.58 is: 548,490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,099.20 : 637,345.76 = 397,675.58 : x
  2. Step 2: Convert to fraction form
    462,099.20/637,345.76 = 397,675.58/x
  3. Step 3: Cross multiply
    462,099.20x = 637,345.76 × 397,675.58
  4. Step 4: Simplify right side
    462,099.20x = 253,456,844,768.54
  5. Step 5: Solve for x
    x = 253,456,844,768.54/462,099.20
  6. Step 6: Final answer
    x = 548,490.12

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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.