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Finding the Fourth Proportional to 333,178.84, 499,716.42 and 111,511

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Solution

The fourth proportional to 333,178.84, 499,716.42 and 111,511 is: 167,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,178.84 : 499,716.42 = 111,511 : x
  2. Step 2: Convert to fraction form
    333,178.84/499,716.42 = 111,511/x
  3. Step 3: Cross multiply
    333,178.84x = 499,716.42 × 111,511
  4. Step 4: Simplify right side
    333,178.84x = 55,723,877,710.62
  5. Step 5: Solve for x
    x = 55,723,877,710.62/333,178.84
  6. Step 6: Final answer
    x = 167,249.15

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1.5x scale

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.