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Finding the Fourth Proportional to 462,102.42, 637,435.27 and 278,213.14

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Solution

The fourth proportional to 462,102.42, 637,435.27 and 278,213.14 is: 383,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,102.42 : 637,435.27 = 278,213.14 : x
  2. Step 2: Convert to fraction form
    462,102.42/637,435.27 = 278,213.14/x
  3. Step 3: Cross multiply
    462,102.42x = 637,435.27 × 278,213.14
  4. Step 4: Simplify right side
    462,102.42x = 177,342,868,013.45
  5. Step 5: Solve for x
    x = 177,342,868,013.45/462,102.42
  6. Step 6: Final answer
    x = 383,773.94

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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.