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Finding the Fourth Proportional to 289,055.80, 433,562.10 and 120,532.60

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Solution

The fourth proportional to 289,055.80, 433,562.10 and 120,532.60 is: 180,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,055.80 : 433,562.10 = 120,532.60 : x
  2. Step 2: Convert to fraction form
    289,055.80/433,562.10 = 120,532.60/x
  3. Step 3: Cross multiply
    289,055.80x = 433,562.10 × 120,532.60
  4. Step 4: Simplify right side
    289,055.80x = 52,258,367,174.46
  5. Step 5: Solve for x
    x = 52,258,367,174.46/289,055.80
  6. Step 6: Final answer
    x = 180,789.89

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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.