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Finding the Fourth Proportional to 289,223.40, 433,899.90 and 111,714.60

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Solution

The fourth proportional to 289,223.40, 433,899.90 and 111,714.60 is: 167,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,223.40 : 433,899.90 = 111,714.60 : x
  2. Step 2: Convert to fraction form
    289,223.40/433,899.90 = 111,714.60/x
  3. Step 3: Cross multiply
    289,223.40x = 433,899.90 × 111,714.60
  4. Step 4: Simplify right side
    289,223.40x = 48,472,953,768.54
  5. Step 5: Solve for x
    x = 48,472,953,768.54/289,223.40
  6. Step 6: Final answer
    x = 167,596.93

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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.