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Finding the Fourth Proportional to 416,711.39, 624,982.84 and 117,205.79

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Solution

The fourth proportional to 416,711.39, 624,982.84 and 117,205.79 is: 175,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,711.39 : 624,982.84 = 117,205.79 : x
  2. Step 2: Convert to fraction form
    416,711.39/624,982.84 = 117,205.79/x
  3. Step 3: Cross multiply
    416,711.39x = 624,982.84 × 117,205.79
  4. Step 4: Simplify right side
    416,711.39x = 73,251,604,080.71
  5. Step 5: Solve for x
    x = 73,251,604,080.71/416,711.39
  6. Step 6: Final answer
    x = 175,784.98

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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.