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Finding the Fourth Proportional to 333,906.60, 499,662.66 and 289,082.14

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Solution

The fourth proportional to 333,906.60, 499,662.66 and 289,082.14 is: 432,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,906.60 : 499,662.66 = 289,082.14 : x
  2. Step 2: Convert to fraction form
    333,906.60/499,662.66 = 289,082.14/x
  3. Step 3: Cross multiply
    333,906.60x = 499,662.66 × 289,082.14
  4. Step 4: Simplify right side
    333,906.60x = 144,443,551,030.89
  5. Step 5: Solve for x
    x = 144,443,551,030.89/333,906.60
  6. Step 6: Final answer
    x = 432,586.69

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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.