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Finding the Fourth Proportional to 462,101.92, 637,434.58 and 278,212.64

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Solution

The fourth proportional to 462,101.92, 637,434.58 and 278,212.64 is: 383,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,101.92 : 637,434.58 = 278,212.64 : x
  2. Step 2: Convert to fraction form
    462,101.92/637,434.58 = 278,212.64/x
  3. Step 3: Cross multiply
    462,101.92x = 637,434.58 × 278,212.64
  4. Step 4: Simplify right side
    462,101.92x = 177,342,357,329.09
  5. Step 5: Solve for x
    x = 177,342,357,329.09/462,101.92
  6. Step 6: Final answer
    x = 383,773.25

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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.