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Finding the Fourth Proportional to 447,070.40, 670,375.20 and 166,443.20

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Solution

The fourth proportional to 447,070.40, 670,375.20 and 166,443.20 is: 249,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,070.40 : 670,375.20 = 166,443.20 : x
  2. Step 2: Convert to fraction form
    447,070.40/670,375.20 = 166,443.20/x
  3. Step 3: Cross multiply
    447,070.40x = 670,375.20 × 166,443.20
  4. Step 4: Simplify right side
    447,070.40x = 111,579,393,488.64
  5. Step 5: Solve for x
    x = 111,579,393,488.64/447,070.40
  6. Step 6: Final answer
    x = 249,579.02

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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.