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Finding the Fourth Proportional to 383,876.12, 575,898.42 and 117,656.66

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Solution

The fourth proportional to 383,876.12, 575,898.42 and 117,656.66 is: 176,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,876.12 : 575,898.42 = 117,656.66 : x
  2. Step 2: Convert to fraction form
    383,876.12/575,898.42 = 117,656.66/x
  3. Step 3: Cross multiply
    383,876.12x = 575,898.42 × 117,656.66
  4. Step 4: Simplify right side
    383,876.12x = 67,758,284,596.48
  5. Step 5: Solve for x
    x = 67,758,284,596.48/383,876.12
  6. Step 6: Final answer
    x = 176,510.81

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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.