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Finding the Fourth Proportional to 447,072.80, 670,532.40 and 166,445.60

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Solution

The fourth proportional to 447,072.80, 670,532.40 and 166,445.60 is: 249,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,072.80 : 670,532.40 = 166,445.60 : x
  2. Step 2: Convert to fraction form
    447,072.80/670,532.40 = 166,445.60/x
  3. Step 3: Cross multiply
    447,072.80x = 670,532.40 × 166,445.60
  4. Step 4: Simplify right side
    447,072.80x = 111,607,167,637.44
  5. Step 5: Solve for x
    x = 111,607,167,637.44/447,072.80
  6. Step 6: Final answer
    x = 249,639.81

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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.