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Finding the Fourth Proportional to 565,236.90, 847,964.70 and 165,890.70

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Solution

The fourth proportional to 565,236.90, 847,964.70 and 165,890.70 is: 248,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,236.90 : 847,964.70 = 165,890.70 : x
  2. Step 2: Convert to fraction form
    565,236.90/847,964.70 = 165,890.70/x
  3. Step 3: Cross multiply
    565,236.90x = 847,964.70 × 165,890.70
  4. Step 4: Simplify right side
    565,236.90x = 140,669,457,658.29
  5. Step 5: Solve for x
    x = 140,669,457,658.29/565,236.90
  6. Step 6: Final answer
    x = 248,868.14

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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.