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Finding the Fourth Proportional to 333,472.14, 499,849.79 and 144,022.05

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Solution

The fourth proportional to 333,472.14, 499,849.79 and 144,022.05 is: 215,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,472.14 : 499,849.79 = 144,022.05 : x
  2. Step 2: Convert to fraction form
    333,472.14/499,849.79 = 144,022.05/x
  3. Step 3: Cross multiply
    333,472.14x = 499,849.79 × 144,022.05
  4. Step 4: Simplify right side
    333,472.14x = 71,989,390,727.76
  5. Step 5: Solve for x
    x = 71,989,390,727.76/333,472.14
  6. Step 6: Final answer
    x = 215,878.28

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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.