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Finding the Fourth Proportional to 314,706.88, 471,500.59 and 181,311.50

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Solution

The fourth proportional to 314,706.88, 471,500.59 and 181,311.50 is: 271,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,706.88 : 471,500.59 = 181,311.50 : x
  2. Step 2: Convert to fraction form
    314,706.88/471,500.59 = 181,311.50/x
  3. Step 3: Cross multiply
    314,706.88x = 471,500.59 × 181,311.50
  4. Step 4: Simplify right side
    314,706.88x = 85,488,479,223.79
  5. Step 5: Solve for x
    x = 85,488,479,223.79/314,706.88
  6. Step 6: Final answer
    x = 271,644.77

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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.