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Finding the Fourth Proportional to 289,222.40, 433,898.40 and 111,713.60

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Solution

The fourth proportional to 289,222.40, 433,898.40 and 111,713.60 is: 167,595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,222.40 : 433,898.40 = 111,713.60 : x
  2. Step 2: Convert to fraction form
    289,222.40/433,898.40 = 111,713.60/x
  3. Step 3: Cross multiply
    289,222.40x = 433,898.40 × 111,713.60
  4. Step 4: Simplify right side
    289,222.40x = 48,472,352,298.24
  5. Step 5: Solve for x
    x = 48,472,352,298.24/289,222.40
  6. Step 6: Final answer
    x = 167,595.43

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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.