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Finding the Fourth Proportional to 383,874.90, 575,855.55 and 117,633.30

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Solution

The fourth proportional to 383,874.90, 575,855.55 and 117,633.30 is: 176,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,874.90 : 575,855.55 = 117,633.30 : x
  2. Step 2: Convert to fraction form
    383,874.90/575,855.55 = 117,633.30/x
  3. Step 3: Cross multiply
    383,874.90x = 575,855.55 × 117,633.30
  4. Step 4: Simplify right side
    383,874.90x = 67,739,788,669.82
  5. Step 5: Solve for x
    x = 67,739,788,669.82/383,874.90
  6. Step 6: Final answer
    x = 176,463.19

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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.