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Finding the Fourth Proportional to 333,284.88, 499,824.42 and 96,645

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Solution

The fourth proportional to 333,284.88, 499,824.42 and 96,645 is: 144,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,284.88 : 499,824.42 = 96,645 : x
  2. Step 2: Convert to fraction form
    333,284.88/499,824.42 = 96,645/x
  3. Step 3: Cross multiply
    333,284.88x = 499,824.42 × 96,645
  4. Step 4: Simplify right side
    333,284.88x = 48,305,531,070.90
  5. Step 5: Solve for x
    x = 48,305,531,070.90/333,284.88
  6. Step 6: Final answer
    x = 144,937.66

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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.