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Finding the Fourth Proportional to 462,095.20, 637,340.25 and 397,671.58

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Solution

The fourth proportional to 462,095.20, 637,340.25 and 397,671.58 is: 548,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,095.20 : 637,340.25 = 397,671.58 : x
  2. Step 2: Convert to fraction form
    462,095.20/637,340.25 = 397,671.58/x
  3. Step 3: Cross multiply
    462,095.20x = 637,340.25 × 397,671.58
  4. Step 4: Simplify right side
    462,095.20x = 253,452,104,215.10
  5. Step 5: Solve for x
    x = 253,452,104,215.10/462,095.20
  6. Step 6: Final answer
    x = 548,484.61

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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.