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Finding the Fourth Proportional to 289,215.40, 433,887.90 and 111,706.60

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Solution

The fourth proportional to 289,215.40, 433,887.90 and 111,706.60 is: 167,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,215.40 : 433,887.90 = 111,706.60 : x
  2. Step 2: Convert to fraction form
    289,215.40/433,887.90 = 111,706.60/x
  3. Step 3: Cross multiply
    289,215.40x = 433,887.90 × 111,706.60
  4. Step 4: Simplify right side
    289,215.40x = 48,468,142,090.14
  5. Step 5: Solve for x
    x = 48,468,142,090.14/289,215.40
  6. Step 6: Final answer
    x = 167,584.93

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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.