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Finding the Fourth Proportional to 383,877.62, 575,900.67 and 117,658.16

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Solution

The fourth proportional to 383,877.62, 575,900.67 and 117,658.16 is: 176,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,877.62 : 575,900.67 = 117,658.16 : x
  2. Step 2: Convert to fraction form
    383,877.62/575,900.67 = 117,658.16/x
  3. Step 3: Cross multiply
    383,877.62x = 575,900.67 × 117,658.16
  4. Step 4: Simplify right side
    383,877.62x = 67,759,413,174.97
  5. Step 5: Solve for x
    x = 67,759,413,174.97/383,877.62
  6. Step 6: Final answer
    x = 176,513.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.